(1) For sin (sin-¹())=, the output value is the same as the input value. Composing a trigonometric function with its inverse doesn't always produce the same output as input. a. Construct an equation like the one above where the output value is not the same as the input value using exact values only (no decimals). legm red auod soy elin 0203 b. Explain in detail why this phenomenon occurs (both when the input and output values are the same and when they differ).

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
(1)
For sin (sin-¹())=, the output value is the same as the input value. Composing a
trigonometric function with its inverse doesn't always produce the same output as input.
a. Construct an equation like the one above where the output value is not the same as the input
value using exact values only (no decimals).
Sora
od og ligg
b. Explain in detail why this phenomenon occurs (both when the input and output values are the
same and when they differ).
Transcribed Image Text:(1) For sin (sin-¹())=, the output value is the same as the input value. Composing a trigonometric function with its inverse doesn't always produce the same output as input. a. Construct an equation like the one above where the output value is not the same as the input value using exact values only (no decimals). Sora od og ligg b. Explain in detail why this phenomenon occurs (both when the input and output values are the same and when they differ).
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