- Graphs of Trigonometric Functions Find the period, andgraph the function.- 9. y = 3 tan x10. y = -3 tan x

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Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Trigonometric Functions: Unit Circle Approach

Section6.CR: Chapter Review

Problem 41E

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Similar questions

38 Graph of Trigonometric Functions Match the trigonometric function with one of the graphs I VI. f(x)=tan(x+4)
The trigonometry function y=tanx has period ________________ and asymptotes x = ____________. Sketch a graph of this function on the interval (/2,/2).
Vibrating String When a violin string vibrates, the sound produced results from a combination of standing waves that have evenly placed nodes. The figure (1) illustrates some of the possible standing waves. Lets assume that the string has length . a.For fixed t, the string has the shape of a sine curve y=Asinx. Find the appropriate value of for each of the illustrated standing waves. b.Do you notice a pattern in the values of that you found in part a? What would the next two values of be? Sketch rough graphs of the standing waves associated with these new values of . c.Suppose that for fixed t, each point on the string that is not a node vibrates with frequency 440Hz. Find the value of for which an equation of the form y=Acost would model this motion. d.Combine your answers for parts a and c to find functions of the form y(x,t)=Asinxcost that model each of the standing waves in the figure. Assume that A=1. Figure (1)
Using the Pythagorean Identities Find the values of the trigonometric functions of t from the given information. tant=-125, sint0
A 20 meter line is used to tether a helium-filled balloon. The line makes an angle of approximately 85 with the ground because of a breeze. (a) Draw a right triangle that gives a visual representation of the problem. Label the known quantities of the triangle and use a variable to represent the height of the balloon. (b) Use a trigonometric function to write and solve an equation for the height of the balloon. (c) The breeze becomes stronger and the angle the line makes with the ground decreases. How does this affect the triangle you drew in part a? (d) Complete the table, which shows the heights (in meters) of the balloon for decreasing angle measures . (e) As approaches 0, how does this affect the height of the balloon? Draw a right triangle to explain your reasoning.
Evaluating Trigonometric FunctionsThe terminal point Px,y determined by a real number t is given. Find sint, cost and tant. -513,-1213

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- Graphs of Trigonometric Functions Find the period, and graph the function. - 9. y = 3 tan x 10. y = -3 tan x