Graphs of trigonometric functions ppt download grade 11. Comments 1. Oct 1, 2018 · Age range: 14-16. 2 . Feb 17, 2014 · Logarithmic Functions. 3 Reduction formula. Additionally, it defines indeterminate forms that Aug 2, 2014 · By the end of the sections students will graph exponential functions using properties of exponents and parent graph transformations, solve problems involving exponential growth and decay. 1 Write down the equations of the asymptotes of f. a) Sketch the graph. Xtra Gr 12 Maths: In this lesson on Functions & Transformations we focus on sketching the graphs of a straight line, parabola, hyperbola and exponential functions. pythagorean theorem. This document discusses limits of exponential, logarithmic, and trigonometric functions. Free lessons, worksheets, and video tutorials for students and teachers. 1 of 17. com/mindsetpoptv In the function \(y=2 \sin x,\) all the \(y\) values will be multiplied by 2 and the amplitude of the function will be \(2 . 1 Draw a sketch graph of f. y y = 2sin x x y = sin x y = sin x y = –4 sin x reflection ofy = 4 sin x y = 4sin x The amplitude of y = a sin x (or y = a cos x) is half the distance between the maximum and minimum values of the function. 6. The turning point is (-1,-1) and the y-intercept is(0,4) X-ample Question 4 If f x x() 2 sketch the graphs indicated below: X-ample Question 5 On the same set of axes sketch the graphs of f(x) 2sinx and An SQA N5 Maths exam question on Trig Graphs is shown below: Part of the graph of y = asinbx° is shown in the diagram. Limits and continuity powerpoint - Download as a PDF or view online for free. Feb 16, 2014 • Download as PPT, PDF •. Save for later. Task Question 1 Without the use of a calculator, determine the value of the following: Question 2 If , express the following in terms of : Practice. pptx, 2 MB. The worksheet tests drawing graphs, identifying graphs, giving the amplitude and period of the graphs. Aug 25, 2013 · More: www. Read the information given in question 1 which is a summary of the Trig graphs you drew in Grade 10. You have probably met the trigonometric ratios cosine, sine, and tangent in a right angled triangle, and have used them to calculate the sides and angles of those triangles. Answer. Learn Xtra Live 2013. This means that there is no value of x for which sin x = 2. 6 Summary. Better than just free, these books are also openly-licensed (except Information Technology and Computer Applications Technology)! Aug 31, 2014 · Presentation Transcript. Translations What are sine, cosine, and tangent graphs? Trigonometric graphs are a visual representation of the sine, cosine and tangent functions. For a function to have an inverse it must be a one-to-one function. Example: 1. The point of rotation is called vertex. Graphing Functions Lesson 1: Graphing Three Common Functions • (Sketch the graphs of 𝑓𝑥)=𝑥2, 𝑓(𝑥)=√𝑥, and 𝑓(𝑥)= 1 𝑥. The. 5. 1: TRIGONOMETRIC IDEAS Trigonometry is the study of triangles. converse of pythagoras theorem. When determining the values of functions of (180o ) or (3600 - ) the function NEVER changes, but the sign may (i. Proof of the sine angle addition identity. Learn how to graph sine and cosine functions with this PowerPoint presentation from Murrieta Valley Unified School District. Download the Note. Find the value of x, if sin (x) = 2. (C) b) Give the values of where the distance between the two graphs is at a minimum. f(x) = Asec(Bx − C) + D gives a shifted, compressed, and/or stretched secant function graph. mindset. sin = sin = Trigonometric Ratios • The symbols we use for these ratios are abbreviations for their full names: sine, cosine, tangent, cosecant, secant, cotangent. The graph of f(x 1 c) is the graph of f(x) moved c units to the right when c is negative or c units to the left when c is positive. Feb 12, 2017 · introduction to functions grade 11 (General Math) Feb 12, 2017 • Download as PPT, PDF •. Graph of y= cosx y = cos. a) Determine the four different points of intersection of the two graphs. Describe the shift of a sine or cosine graph from the equation of the function. Trig graphs are graphs of trigonometrical functions such as y = sin x°, y = cos x° or y = tan x°. Functions, relations and inverses There are certain questions, which you must be able to answer for all 9 graphs: 1. 6 days ago · FAQs on Inverse Trigonometric Functions Class 12 Notes CBSE Maths Chapter 2 (Free PDF Download) 1. y. amplitude = |a| If |a| > 1, the amplitude stretches the graph Jul 6, 2014 · M. End of chapter exercises. Download. Apr 16, 2024 · Revision Notes for CBSE Class 11 Maths Chapter 3 (Trigonometric Functions) - Free PDF Download. Their reciprocals, though used, are less common in modern mathematics. Unit 2 Trigonometric functions. 9 Comparison of graphs of y = sin theta and y = cos theta. Download our open textbooks in different formats to use them in the way that suits you. Angle. 1 Existence of Limit The limit of a function exists if and only if the one- sided limits of the function are equal lim 𝑥→𝑎+ 𝑓 𝑥 = lim 𝑥→𝑎− 𝑓 𝑥 GR 11 MATHEMATICS A U5 TRIGONOMETRY 7 11. org Lesson Objectives Able to plot the different Trigonometric Graphs Graph of Sine Function (y = f (x) = sinx) Graph of Cosine Function (y = f (x) = cosx) Define the Maximum and Minimum value in a graph Generalized Trigonometric Functions Graphs of y = sinbx Graphs of y = sin (bx + c) Could find the Period of Trigonometric Hyperbola, Exponential and Trig Graphs. These are the maximum points, the minimum points, and the intercepts. e. Definition/Domain: o All -values for which the function is defined. Avg rating:3. 2 Plan for the Day Review Homework –4. 6 The graph of the cosine function has the same period, midline, and amplitude as the graph of the sine function. Starting with the basics of Trigonometry formulas, for a right-angled triangle ABC perpendicular at B, having an angle θ, opposite to perpendicular (AB), we can define trigonometric ratios as; Sin θ = P/H. Recall that for a function to have an inverse, it must be a one-to-one function and pass the Horizontal Line Test. y = sin x. Students will develop properties of trig functions, learn to find the amplitude, period, phase shift and vertical shift from equations, and graph trig functions. This is a resource developed by WCED. 4 Trigonometric equations. Sine, cosine, and tangent are three of the most important trigonometric functions and are used extensively in fields such as science, engineering, and architecture. Grade 11. (P) c) Give the period and amplitude of each graph. State the values of a and b. 7 KB. • Identify the domain and range of the functions 𝑓(𝑥)=𝑥2, 𝑓(𝑥)=√𝑥, and 𝑓(𝑥)= 1 𝑥 using their graphs. A lesson were pupils discover the graphs for themselves. Example 10. 1 of 35. 0/5. 1. Values of Trigonometric Functions. This is the best collection of Mathematics Trigonometry standard 11th worksheets with important questions and answers for each grade 11th Mathematics Trigonometry chapter so that the students are able to Trigonometric Ratios. 1 of 20. CosY = 0. 2. The horizontal translation of a trigonometric function is called a phase shift. You will find examples, exercises, and tips to 1 Introduction. Download now. Trigonometry Trigonometry is derived from Greek words trigonon (three angles) and metron ( measure). The range is the set of y values such that The maximum value is 1 and the minimum value is –1. y-intercept: o Let =0. x!0 x. 11 Functions of the form y = tan theta. Its midline is the horizontal line y = 0, and the amplitude of the sine function is 1. Day 1 and 2 topics for General Mathematics Grade 11. Algebraic Functions. 4 Identify and graph parent functions of the following families of functions: Linear Absolute. B. Properties of Sine and Cosine Functions The graphs of y = sin x and y = cos x have similar properties: 1. Using trig angle addition identities: finding side lengths. Aug 6, 2014 · Presentation Transcript. Exponential and Trig Graphs. A negative value of the coefficient in front of a trigonometric function will not change the Amplitude of the function, but it will change the shape of the function. 3 Find lim cos(x)°1 . Example 1: Complete the table and Graph the Exponential Function. This is a lesson on Trigonometry Formulae in which sides and angles of a non-right-angled triangle is determined. Source: N5 Maths, 2015, P1, Q6. It's for Year 8. law of sines. We see in Figure 5. Practice this chapter. This is a grade 11 lesson on Trigonometry. Jul 27, 2014 · INVERSE TRIGONOMETRIC FUNCTIONS CLASS XII. 7 Functions of the form y = a cos theta + q. Each function cycles through all the values of the range over an x-interval of The cycle repeats itself indefinitely Aug 15, 2012 · 1. 1 Determine the domain and the range of f. Tan θ = P/B. There is no “sum of squares” formula, i. This is the circle of radius 1 1 in the xy x y -plane consisting of all points (x, y) ( x, y) which satisfy the equation x2 +y2 = 1 x 2 + y 2 = 1. Gr 11 & 12 Trig Notes Page 3 of 10 REDUCTION FORMULAE N. (R) d) Give the - and y-intercepts for both graphs. Jan 2, 2020 · Trigonometric Functions. The original ray is called the initial side and the final position of ray after rotation is called terminal side of the angle. swartzje. 1 The graph of (𝜃) = sin is drawn below for [-360o; 360o] -360o-270o-180o 90o 0o 90o 180o 270o 360o ( ) = sin 01-Between 0 o and 360 is called one curve of the graph. Sine, cosine, and tangent are the most widely used trigonometric functions. ppt/slides/slide58. Intersection between graphs: 6. The graph is a smooth curve. The SIGN of the function value is determined from the ORIGINAL FUNCTION using the CAST diagram. Each function cycles through all the values of the range over an x-interval of The cycle repeats itself indefinitely Jul 19, 2023 · The secant and cosecant are both periodic functions with a period of 2π. What we have determined is that it grows ever closer to 1 as x approaches zero, that is, sin(x) lim = 1. There are six trigonometric functions: sine, cosine, tangent and their reciprocals cosecant, secant, and cotangent, respectively. 10 Tangent function. We know that sin x = 2, X = sin-1 (2), this is not possible. Course challenge. x. The following steps will help you use the trigonometric graphs to find secondary values. Oct 28, 2011 · 22. It also discusses special limits, such as limits of sin(x)/x and (e^x - 1)/x as x approaches 0. See Example 4. Topics in this unit include: periodic functions, graphs of sine and cosine, transformations of trig functions, and applications of trig functions. This worksheet looks at the three different trigonometric graphs – sin, cos and tan, and the translations and changes that occur in these graphs. 49 MB. inverse trigonometric functions. Graphs of Trigonometric Functions; 2 Using Quadrants to measure angles 3 The SIN graph learn its properties y sinx 4 The COS graph learn its properties y cosx 5 The TAN graph learn its properties y tanx 6 Which quadrants are positive for Sin x, Cos x and Tan x? 7 Express as trig ratios of Mar 22, 2022 · NCERT Class 11 Maths chapter 3 notes will be very much helpful for students to score maximum marks in their 11 board exams. 30. Download Properties of Sine and Cosine Functions The graphs of y = sin x and y = cos x have similar properties: 1. Figure 2. 12. 17 likes • 20,342 views. Sec θ = H/B. Finding trig values using angle addition identities. N. facebook. PowerPoint presentation to introduce the topic of trigonometry, either at KS3 or GCSE level maths. 00. In fact, sin(x) x x < 1 for any x except 0, and it is undefined when x = 0. Jun 24, 2015 · 7. They will analyze sinusoidal graphs and their amplitude and period through examples. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. TexPoint fonts used in EMF. Sine, Cosine and tangent are the three important trigonometry ratios, based on which functions are defined. Unit test. You can also find examples and practice problems to test your understanding. radians and degrees. Trigonometry is a branch of mathematics that deals with the study of triangles and the relationships between their sides and angles. Trigonometry for class xi - Download as a PDF or view online for free. The PERIOD of the graph is the number of degrees required to draw the A-Level Maths: Core 3 for Edexcel C3. Education. Read the TexPoint manual before you delete this box. The word comes from Greek trigonon "triangle" + metron "measure. 1 Properties of Sine and Cosine Functions The Graphs of Trigonometric Functions. 1 Determine the decreasing and increasing functions of the axes of symmetry of f. Each function cycles through all the values of the range over an x -interval of. For example; boys to girls cats : dogs right : wrong. 3 Trigonometry 1 We could also solve this using a right angled triangle with sides of length 1, √24 and 5 although it must be remembered that since x is obtuse, it is in the second quadrant and tan x is therefore negative. Start Course challenge. Includes a recap of everything learned. C. no formula for Inverse Trigonometric Functions Recall some facts about inverse functions: 1. Chapter 5. Ray : A half-line starting at a vertex V Angle : Two rays with a common vertex. The main part of this PowerPoint is 30 slides, it begins with the calculation and shape of the three Trig graphs, then introduces the four ways in which the graphs can be transformed f (x) = A sin B (x+C)+D. radians and arc length. Description: Trigonometric Ratios A RATIO is a comparison of two numbers. Siyavula's open Mathematics Grade 11 textbook, chapter 6 on Trigonometry. In Trigonometry, the comparison is between sides of – PowerPoint PPT presentation. X-ample Question 3 The graph of y ax2 bx c is drawn below. 5 P odd, all The effects of “b” and “c” together in. Formulas Perfect Square Factoring: Difference of Squares: Difference and Sum of Cubes: B. Using trigonometric identities. Download the Series Guide. Let P = (4, -3) be a point on the terminal side of six trigonometric functions of 2. Unit 3 Non-right triangles & trigonometry. Transformations of trigonometric functions. Unit 1 Right triangles & trigonometry. Jan 2, 2020 · Figure 1. Aug 31, 2011 · Above equation becomes = 28. 0. 7 The sine graph y = sin x 1 30 ° and 150° y x. G Give It a Try Lesson 7. trigonometric ratios sin cos tan csc sec and cot. See below for all three trigonometric graphs for all angles of θ between -360º and 360º (-360 < θ Grade 11 Revision: Functions. STEP 1: Sketch the graph for the given function and interval. 29152 | 110 | 8. Basic Terminology. Apr 22, 2014 · If is the distance from (0,0) to (x,y), then the 6 trigonometric functions of are defined by the following ratios: the terminal side of r y sin r x cos 0,tan x x y 0,csc y y r 0,sec x x r 0,cot y y x x r y x 11. • Since any two right triangles with angle are similar, these ratios are the same, regardless of the size of the triangle; the trigonometric ratios depend only on the Understand key features of graphs of trig functions o Graph of the sine function o Graph of the cosine function o Key features of the sine and cosine function o Graph of the tangent function o Key features of the tangent function o Practice Solutions Back to Table of Contents. Mathematics. Presentation on theme: "GCSE Trigonometry Parts 3 and 4 – Trigonometric Graphs and Equations"— Presentation transcript: 1 GCSE Trigonometry Parts 3 and 4 – Trigonometric Graphs and Equations. \) The graph for \(y=2 \sin x\) is shown on the next page. One-sided limit 3 92 x x xf Theorem 2. 2 Factoring Formulas A. 375 likes • 108,491 views. canalculus. It provides examples of evaluating limits of the natural exponential, common logarithmic, and trigonometric functions as the input approaches certain values. May 6, 2021 · docx, 56. Angle is a measure of rotation of a given ray about its initial point. x from −2π to 2π − 2 π to 2 π. Trigonometry is a branch of mathematics that combines arithmetic, algebra and geometry. 𝒙-intercept: o Let =0. x Now we use this fact to compute another significant x!0 limit. ppt, 19. File previews. Trigonometry Functions are one of the most important topics in Class 11 Mathematics. : A A A A A A A A. Sep 7, 2022 · Identify the graphs and periods of the trigonometric functions. Then put t = ⇨ 3t2 – 28t +9=0 ⇨ t=1/3 , 9 When y=-1 then sin2x+cos2x = -1 ⇨ cosx = 0 or tanx = -1 When y = 2 then sin2x+cos2x =2 ⇨ sin2x+ cos2x = ⇨ sin (2x+ >1 which is not possible. If we know that CosY = 0. Cosec θ = H/P. Grade 11 | Trigonometric Functions. Includes background behind why we use trigonometry, some examples with answers, with a question for students to complete at the end. Trig challenge problem: cosine of angle-sum. Objective Video Example by Mrs. Trigonometry • Trigonometry is derived from Greek words trigonon (three angles) and metron ( measure). Each function cycles through all the values of the range over an x-interval of The cycle repeats itself indefinitely Properties of Sine and Cosine Functions The graphs of y = sin x and y = cos x have similar properties: 1. The domain is the set of real numbers. Dr J Frost Objectives: (from the IGCSE FM specification) Last modified: 28th December 2016. Dec 12, 2011 • Download as PPTX, PDF •. Slides: 36. Exercise 11. 6 The sine graph y = sin x y x. to let us know if it violates our terms and conditions. trigonometric identities. Logarithmic Functions - Download as a PDF or view online for free. 1 Revision. Cot θ = B/P. 3. Test your knowledge of the skills in this course. Every value of sine between -1 and 1 gives two angles between 0 ° and 360° The sine graph is periodic, repeating every 360° Between 180° and 360° the values of sine are negative Between 0° and 180° the values of sine are positive. Trigonometric functions are used to model many phenomena, including sound waves, vibrations of strings, alternating electrical current, and the motion of pendulums. Using trig angle addition identities: manipulating expressions. Learn how to graph trigonometric functions with this PowerPoint presentation from the Richmond County School System. Proof of the cosine angle addition identity. We also look at finding the equations of various functions as well as answering interpretive questions. Unit 4 Trigonometric equations and identities. 5. Dec 12, 2011 · Limits and continuity powerpoint. Below are the graphs of the three trigonometry functions sin x, cos x, and tan x. Trigonometric functions are functions related to an angle. Resource type: Lesson (complete) File previews. 58k views • 28 slides Feb 22, 2018 · Age range: 11-14. Apr 7, 2019 · Trigonometric Functions. Graph of y= sinx y = sin. The range is the set of y values such that. when changing to an acute angle the name does not change). (Given the graph of ) and ( ) ( . Natural Sciences. To do so: -Enter 0. 1 that any point on the unit circle has coordinates (x, y) = (cos θ, sin θ) ( x, y If you see π or some multiple of π then you must work in radians. Angles and Their Measure. Age range: 14-16. Remind students that tan is positive in the first and third quadrants. Recall that when using the unit circle to evaluate the value of a trig function, cos θ = x and sin θ = y . Hyperbola, Exponential and Trig Graphs. Students will demonstrate this by creating a collaborative poster. docx, 438. The graphs of Sinθ and Tanθ pass through the origin and the graphs of other trigonometric functions do not pass through the origin. 12 Functions of the form y = a tan theta + q. Where, P = Perpendicular. In Trigonometric Functions Class 11 chapter 3 notes we have discussed many topics: Angle, radian, finding angle and radian from formulae, trigonometric functions, domain and range of trigonometric functions, standard formulas, the sign of trigonometric functions, graphs Oct 28, 2011 · 22. 5 Graphs of Sine and Cosine Functions AmplitudePeriodTranslations. L. The document outlines learning objectives for a lesson on trigonometric functions. Section 5. Feb 5, 2012 · Went a bit overboard on the animations. Sep 6, 2014 · Graph Trigonometric Functions. A B Compare the graph of y 5 sin x and the graph of y 5 sin x 1 p. Oct 2, 2018 · KS4 Maths: Transformations of Trigonometric Graphs[Grade 8/9] Subject: Mathematics. Using the cosine double-angle identity. Get this video on DVD. Grade 11 | Learn Xtra Dec 19, 2013 · soh-cah-toa, angle measure, radian measure, degrees, unit circle, pythagorean theorem, trigonometry, trigonometric identity, trigonometric equations, sine, cosine, t We will describe a geometrical way to create the graph, using the unit circle. • Introduce the idea of an asymptote on a graph. 90 13 reviews. Check whether you should be working in degrees or radians and label the axes with the key values. x 0 cos x 1 0 -1 0 1 y = cos x y x Graph of the Cosine Function Cosine Function To sketch the graph of y = cos x first locate the key points. 23. 8 Discovering the characteristics. Functions. 3. Explore Trigonometry Worksheets for grade 11 by Topic. f(x) = Acsc(Bx − C) + D gives a shifted, compressed, and/or stretched cosecant function graph. Objective: SWBAT graph sine, cosine and tangent curves. In this booklet we review the definition of these trigonometric ratios and extend the concept of cosine, sine and tangent. . Malikahmad105. Period of Trigonometric Functions. Graphs of Sine and Cosine Five Point Method. The horizontal axis represents the angle, usually written as θ, and the vertical axis is the trig function. Better than just free, these books are also openly-licensed (except Information Technology and Computer Applications Technology)! Aug 29, 2020 · Gr 11 T3 W5 Mathematics. (R) In fact, sin(x) x x < 1 for any x except 0, and it is undefined when x = 0. Range: o All y-values for which the function is defined. May 1, 2021 · We have provided chapter-wise worksheets for class 11 Mathematics Trigonometry which the students can download in Pdf format for free. 2 Sin Graph What does it look like? ? -360 -270 -180 -90 Aug 23, 2014 · Step 1: Plug the equation into your graphing calculator. This topic covers: - Evaluating functions - Domain & range of functions - Graphical features of functions - Average rate of change of functions - Function combination and composition - Function transformations (shift, reflect, stretch) - Piecewise functions - Inverse functions - Two-variable functions. In these trigonometry graphs, x-axis values of the angles are in radians, and on the y-axis, its f (x) is taken, the Using the cosine angle addition identity. (R) 6 Functions of the form y = cos theta. Abigail Campbell, A Lesson on Graphing, Math, 7 th Grade Click To Go To The Main Menu. Trigonometry is the branch of mathematics which deals with triangles, particularly triangles in a plane where one angle of the triangle is 90 degrees Triangles on a sphere are also studied, in spherical We would like to show you a description here but the site won’t allow us. Inverse Trigonometric Functions The inverse of f (x) = Sin x, x ∈ [− π , π ] 2 2 f (x) = sin−1 x = Arcsin x = inverse sine of x 8 of 26. 30, we're trying to find the angle Y that has a Cosine 0. May 8, 2013 · Grade 7: Term 2. Cos θ = B/H. liza magalso. lim x 0+ lim x 0- Step 3: Look at the table and approximate the value for the limit. Trigonometry 4 units · 36 skills. Trigonometric Functions. S. xmlÌXÛŽä¶ } ôd?hšº« îuZ”d ðÚ‹ qòÌ–Ø-z%Q&©ž™ û9yÌwå7R¤¤î¹ì ãl ìb1â¥X¬:uX,ö7ßÞu-:1©¸è·Žw… Jun 18, 2013 · Worksheet 6 – Trigonometric Functions. It tells about the relationship between the sides and angles of a right-angle triangle. 40 likes • 38,636 views. 4 and Example 4. £0. Approximating the Value of a Limit Step 2: Use your graphing calculator to view the table of values for the function. What we didn’t point out is that since the radius (hypotenuse) is 1, the trig. Trigonometric Functions Class 11 Notes are the important study material for 5 Plotting Trig Graphs. 5 Area, sine, and cosine rules. Of Any Angle. 30 on your calculator. Number of Views: 2967. f ( x ) = sin x does not pass the Horizontal Line Test. Learn Xtra Lessons. 1. PinoyBIX. This section covers the amplitude, period, phase shift, and vertical shift of the trigonometric functions. Inverse Sine Function. 41 KB. Unit Circle Rationale. Technology Business. africawww. Graphs of Trigonometric Functions. www. Free Google Slides theme and PowerPoint template. Trigonometry Yash Soni X-A 1. Open Textbooks. 24. Inverse Trigonometric Functions The inverse of f (x) = Sin x, x ∈ [− π , π ] 2 2 Find the graph of the inverse by flipping along the diagonal 8 of 26. Jan 19, 2024 · CBSE Class 11 Maths Notes Chapter 3 Trigonometric Functions. Learn. 6. lim sinx x 0 x 1 =. The range of Sinθ and Cosθ is limited to [-1, 1]. It also does in-depth mixed questions about the Title: Graphs of Trigonometric Functions 1 Chapter 8. 5 The period of the sine function is 360 ∘. ⁡. • Trigonometry is the branch of mathematics which deals with triangles, particularly triangles in a plane where one angle of the triangle is 90 degrees • Triangles on a sphere are also studied, in spherical Aug 10, 2014 · Presentation Transcript. It means triangle measurement. Resource type: Other. 1 Determine: the coordinates of D; the y-intercept of f. Math. Then, connect the points on the graph with a smooth curve that extends in Explore math with our beautiful, free online graphing calculator. 1 Determine: the coordinates of B; the x-intercept of f. This is where the Inverse Functions come in. Creative Commons "Sharealike". 2 Trigonometric identities. Our customer service team will review your report and will be in touch. Click on each book cover to see the available files to download, in English and Afrikaans. 4. b) Write down the equations of the asymptotes to this graph. -Find the Inverse button, then the Cosine button (This could also be the Second Function button, or the Arccosine button). 0. Properties of Sine and Cosine Functions. 32k views • 110 slides 4 The trigonometric ratios sinθ and cosθ are functions of the angle θ. Each of the transformations are considered individually with examples, then each has three “state the function The graphs of trigonometric functions have the domain value of θ represented on the horizontal x-axis and the range value represented along the vertical y-axis. Download Presentation. yu ox mk hl mx mr rf vm mr tt