Problem 3. Trigonometric Function, Inverse Trigonometric Functiona. Explain the meaning of "sin x". Does it represent "sin" times "x"? What does x represent?How about "tan x" and "sec x"?b. Explain the meaning of "sin-1x". Does it represent ""? What does x represent? How aboutsin x"cot-1x" and "csc-1x"?c. Find sin[tan'{csc(cot-1x)}] in terms of x. Start by drawing a right triangle thatillustrates cot-1x.

We are asked to state meaning sinx.

Problem 3. Trigonometric Function, Inverse Trigonometric Function a. Explain the meaning of "sin x". Does it represent "sin" times "x"? What does x represent? How about "tan x" and "sec x"? b. Explain the meaning of "sin- x". Does it represent "? What does x represent? How about "cotx" and "cscx"? Find sinltanfcsc(cot-1yl in terms of r. Start hy drawing a rioht trianole that sin x

Problem 3. Trigonometric Function, Inverse Trigonometric Function a. Explain the meaning of "sin x". Does it represent "sin" times "x"? What does x represent? How about "tan x" and "sec x"? b. Explain the meaning of "sin- x". Does it represent "? What does x represent? How about "cotx" and "cscx"? Find sinltanfcsc(cot-1yl in terms of r. Start hy drawing a rioht trianole that sin x

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Trigonometric Functions: Right Triangle Approach

Section5.CR: Chapter Review

Problem 11CC: a Define the inverse sine function, the inverse cosine function, and the inverse tangent function. b...

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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.
a Define the inverse sine function, the inverse cosine function, and the inverse tangent function. b Find sin-112,cos-122, and tan-11. c For what values of x is the equation sinsin-1x=x true? For what values of x is the equation sin-1sinx=x true?