Simplify the expressions below. (a) sin(arcsin()) = (b) For what values of x is your answer to part (a) valid? O π ≤ x ≤ π O 1 ≤ x ≤ 1 O π/2 ≤ x ≤ π/2 -∞0 < x < 00 O-2π ≤ x ≤ 2π O-4 ≤ x ≤ 4 (c) arcsin(sin(-11r )) =

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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## Simplify the expressions below.

### (a) \(\sin\left(\arcsin\left(\frac{x}{4}\right)\right) =\) 

[Answer box]

### (b) For what values of \(x\) is your answer to part (a) valid?

- \( -\pi \leq x \leq \pi \)
- \( -1 \leq x \leq 1 \)
- \( -\pi/2 \leq x \leq \pi/2 \)
- \( -\infty < x < \infty \)
- \( -2\pi \leq x \leq 2\pi \)
- \( -4 \leq x \leq 4 \)

### (c) \(\arcsin\left(\sin\left(\frac{11\pi}{3}\right)\right) =\) 

[Answer box]
Transcribed Image Text:## Simplify the expressions below. ### (a) \(\sin\left(\arcsin\left(\frac{x}{4}\right)\right) =\) [Answer box] ### (b) For what values of \(x\) is your answer to part (a) valid? - \( -\pi \leq x \leq \pi \) - \( -1 \leq x \leq 1 \) - \( -\pi/2 \leq x \leq \pi/2 \) - \( -\infty < x < \infty \) - \( -2\pi \leq x \leq 2\pi \) - \( -4 \leq x \leq 4 \) ### (c) \(\arcsin\left(\sin\left(\frac{11\pi}{3}\right)\right) =\) [Answer box]
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