Graphing other trigonometric functions worksheet 1. -1-Using degrees, find the amplitude and period of each function. Then sketch the graph using radians. Section 9. Free trial available at KutaSoftware. y = 3sin(x) Period: 2π Amplitude: 3 Phase Shift: 0 Vertical Shift: 0 x y π Oct 17, 2020 · Liveworksheets transforms your traditional printable worksheets into self-correcting interactive exercises that the students can do online and send to the teacher. Each type of worksheet is designed to focus on different aspects of trigonometry, ensuring that students gain comprehensive knowledge and the ability to It is the reciprocal function of sine. HW Exercise 6. time assuming the start is at a midpoint between the high and low. 5) Graphing Other Trig Functions [tan, cot, sec, csc] 6) Graphing ALL 6 Trigonometric Functions. 4 %âãÏÓ 169 0 obj /Linearized 1 /O 171 /H [ 887 245 ] /L 665444 /E 32102 /N 24 /T 661945 >> endobj xref 169 23 0000000016 00000 n 0000000811 00000 n 0000001132 00000 n 0000001514 00000 n 0000001631 00000 n 0000001748 00000 n 0000001873 00000 n 0000001991 00000 n 0000002113 00000 n 0000002152 00000 n 0000002175 00000 n 0000003490 00000 n 0000003511 00000 n 0000003634 00000 n Worksheet by Kuta Software LLC Answers to Graphing Sine and Cosine Trig Functions WS #3 1) Amplitude: 3 Period: p 3 Phase shift: Right p 36 Vert. Translations of Trigonometric Graphs Sketch the following graphs on the axes below –adding or subtracting a value to the trig function will translate the graph up or down, while adding or subtracting a value to the x term will translate the graph to the left or right respectively. transformationof . F. Create your own worksheets like this one with Infinite Precalculus. 12/3 4. In this section, we will explore the graphs of the tangent and other trigonometric functions. Secant and Cosecant; Tangent and Cotangent; Examples. 9) Polar & Rectangular Coordinates and Equations 11/22 4. IF. Use what we know about graph transformations to “transform” the six key points on . You will also see how the four coefficients of a general sinusoidal function affect the new functions in similar ways. Graphs of Trigonometric Functions: Worksheets with Answers Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. Dec 26, 2024 · Asymptotes would be needed to illustrate the repeated cycles when the beam runs parallel to the wall because, seemingly, the beam of light could appear to extend forever. Determine the amplitude or vertical stretch, period, phase shift, and vertical shift for each. 8) Mega-Bundle: Evaluate Trig & Inverse Trig Functions / Graph ALL 6 Trig Functions. In addition to a summary of the above discussions, please address the domain and range of these functions. org 3 6 On the graph below, draw at least one complete cycle of a sine graph passing through point (0,2) that has an amplitude of 3, a period of π, and a midline at y =2. yt =sin( ). π. Then use the asymptotes and several points to sketch a graph of the function. Right Triangle Trig Worksheet: File Size: 24 kb: File Type: docx: Review of Graphing Other Trig Functions Answers: File Size: 114 kb: File Type: pdf: Download File. These worksheets cover a wide range of topics related to trigonometric functions, from basic function evaluations to more complex problems involving inverse functions, identities, and graphing. is a . 5 Graphing Other Trigonometric Functions 501 To graph y = a sec bx or y = a csc bx, fi rst graph the function y = a cos bx or y = a sin bx, respectively. 7 a) On the axes below, sketch at least one Feb 13, 2022 · Graphing Other Trigonometric Functions. Since sine is defined as the opposite/hypotenuse, cosecant will be defined as hypotenuse/opposite. The graph of . Example 1; Example 2; Example 3; Example 4; Example 5; If you already know the relationship between the equation and graph of sine and cosine functions then the other four functions can be found by identifying zeroes, asymptotes and key points. 5 Graphs of Sine & Cosine Functions 4. M110 Fa17 Page 1/7 Worksheet 15 KEY - Graphing Trigonometric Functions 1. 5 Desmos "Graphs of Sine & Cosine" & Desmos "Graphing Sine Function" 11/15 4. a) Draw a graph of the height vs. (b) List as many properties as possible for the graph of f(x) - Atrig(Br-C)+D. com Graphing All Trig Functions Review Worksheet (Sin, Cos, Tan, Csc, Sec, & Cot) Sketch the graph of each function for one period. Notice that the value of b represents a horizontal stretch or shrink by a factor of 1 —, so the period The document provides 20 multiple choice questions about trigonometric functions including sine, cosine, and tangent. y = tan(x − π 4)! 91 position as a function of time. 9. y = 3sin(x) Period: 2π Amplitude: 3 Phase Shift: 0 Vertical Shift: 0 x y π %PDF-1. A mass on a spring bounces up and down relative to a marked spot on the wall. Secant - Like cosecant, secant is also the reciprocal function of one of the basic trigonometric functions. yt=sin( ) is given below with six key points emphasized. Sample questions ask about identifying properties of specific trig functions, determining values where functions are equal to or intersect each other, and choosing statements Graphing Other Trigonometric Functions Worksheet 6 Variations on Graphs Trigonometric functions become more useful in applications if we have the opportunity to vary their values. cosecant ∠ Θ = hypotenuse/opposite. The mass gets to a max height of 10 cm above the spot and a min of 2 cm below the spot and it takes 2s to complete 4 cycles. 90 Worksheet 6 Graphing Other Trigonometric Functions Question In Worksheet 5, we listed some information we need to graph a sinusoid. 7) Graphing and Evaluating Inverse Trig Functions. T w tAblulm ZrciVgKhMtOsb Vrmeis^eRrGvFeDdS. It covers concepts like amplitude, period, domain, range, and intersections between trig functions. 5. 6 Part 1 Worksheet. 6 Graphs of Other Trigonometric Functions 4. Graphing Trigonometric Functions Practice Worksheet: Precalculus 1 David Lippman,Melonie Rasmussen,2022-07-14 The first half of an open textbook covering a two quarter pre calculus sequence including trigonometry This first portion of the book is an investigation of functions exploring the Identify the features of the graph, then sketch the graph NEATLY using PENCIL. Compare and contrast the affects of changing h and k on the graph of the cosine function with their affects on the graph of the sine function. 5 Desmos "Graphs of Trig Functions" 11/2 7-11/2 9 No School "Thanksgiving Break" 12/2 4. Then graph. shift: Down 3 Min: -5 Max: -1 3) Amplitude: 1 3 Period: 2p 3 Phase shift: Left 2p 9 Vert. Secant is defined as the reciprocal function of cosine. . These worksheets provide a variety of exercises and problems that cover the different aspects of trigonometric functions, such as sine, cosine, and tangent. Find the amplitude, the period in radians, the phase shift in radians, the vertical shift, the minimum and maximum values, and two vertical asymptotes (if any). jmap. C. com. y t = −sin. shift: Up 3 Min: 0 Max: 6 2) Amplitude: 2 Period: 14p Phase shift: Left 21p 4 Vert. As we know, the graph of ( ) 2 3. Next, we want to see what happens when we play with a function. Create your own worksheets like this one with Infinite Algebra 2. Statethe period, amplitude, phase shift Trig Graphs Worksheet State the equations for the following graphs. 5 First, what will happen to our graph when we multiply the outputs by a certain value? Free Trignometry worksheets includes visual aides, model problems, exploratory activities, practice problems, and an online component M110 Fa17 Page 1/7 Worksheet 15 KEY - Graphing Trigonometric Functions 1. yt =sin( ) and then connect Here you will extend what you know about rational functions and sine and cosine functions to produce graphs of the four other trigonometric functions: tangent, secant, cosecant, and cotangent. Equation (6) = _____ (in terms of the sine function) Graph one complete period of the given Worksheet by Kuta Software LLC Algebra 2 Graphing Trig Functions Phase and Vertical Shifts Name_____ ID: 1 Date_____ Period____ ©q y2r0p1q5d KKJuUtAaR XSTo[fWtQwNatrGed `LYLzCm. shift: Up 3 Min: 8 3 Max SOLUTIONS: Week 3 Practice Worksheet . M110 Fa17 Page 1/1 Worksheet 15 - Graphing Trigonometric Functions In Exercises1 - 12, graphone cycleof thegiven function. Graphs of Trig Functions . cosine function with their affects on the graph of the sine function. The graph of the tangent function would clearly illustrate the repeated intervals. 7: Graphing Trigonometric Functions 4 www. And best of all they all (well, most!) come with answers. 10. 5 Worksheet. 6 Graphs of Other Trigonometric The Cos graph No Homework 2/11 4,5 Investigation of Amplitudes AMPLITUDE Homework Worksheet 2/12 6 Investigation of Frequencies FREQUENCY Homework Worksheet 2/13 7 Finding periods and sketching graphs PERIOD Homework Worksheet 2/14 x Graphing Sin and Cos QUIZ No Homework 2/17-2/21 WINER BREAK Relax and enjoy your break Mar 25, 2021 · Explore printable Trigonometric Functions worksheets Trigonometric Functions worksheets are an essential tool for teachers to help their students grasp the fundamental concepts of trigonometry. Locate and describe the significance of the intersection points of the graphs of the sine function and the cosine function. Based on your graph, state an interval in which the graph is increasing. Graph trigonometric functions worksheet | Live Worksheets 4) Graph Sine, Cosine & Tangent Functions Step-by-Step. 11/26 4. sunxdtz hocc fgba pysc yenf ondks fszz xnsw gmhd nbzmvnay