Determine whether the following statement make sense or does not make sense, and explain your reasoning. Because y= sin x has an inverse function if x is restricted to 22 they should make restrictions easier to remember by also using 2'2 as the restriction for y= tan x Choose the correct answer below. O A. The statement does make sense because y = sin x and y = tan x are periodic functions of period 2n. OB. The statement does not make sense because y = tan x has an inverse function if x is restricted to O C. The statement does not make senše because y = tan x has an inverse function if x is restricted to [0,x). O D. The statement does not make sense because y = tan x has an inverse function if x is restricted to (0,7).

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
Section5.4: Inverse Trigonometric Functions And Right Triangles
Problem 1E: For a function to have an inverse, it must be ___________. To define the inverse sine function, we...
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Determine whether the following statement make sense or does not make sense, and explain your reasoning.
元 兀
Because y = sin x has an inverse function if x is restricted to
they should make restrictions easier to remember by also using
元 兀
2'2
2'2
as the restriction for y = tan x.
Choose the correct answer below.
A. The statement does make sense because y = sin x and y = tan x are periodic functions of period 2n.
В.
The statement does not make sense because y = tan x has an inverse function if x is restricted to
2'2
C. The statement does not make sense because y = tan x has an inverse function if x is restricted to [0,T).
O D. The statement does not make sense because y = tan x has an inverse function if x is restricted to (0,t).
Click to select your answer.
Save for Later
e Type here to search
PrtScn
Transcribed Image Text:Determine whether the following statement make sense or does not make sense, and explain your reasoning. 元 兀 Because y = sin x has an inverse function if x is restricted to they should make restrictions easier to remember by also using 元 兀 2'2 2'2 as the restriction for y = tan x. Choose the correct answer below. A. The statement does make sense because y = sin x and y = tan x are periodic functions of period 2n. В. The statement does not make sense because y = tan x has an inverse function if x is restricted to 2'2 C. The statement does not make sense because y = tan x has an inverse function if x is restricted to [0,T). O D. The statement does not make sense because y = tan x has an inverse function if x is restricted to (0,t). Click to select your answer. Save for Later e Type here to search PrtScn
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