Determine whether the given trigonometric function is increasing, decreasing, or neither on the given interval. (a) f(x) = sin(x)  on [-π/2,π/2]   (b) f(x) = sin(-x)  on [-π/2,π/2]    (c) f(x) = cos(x)  on [-π/2,π/2]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 62E
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Determine whether the given trigonometric function is increasing, decreasing, or neither on the given interval.

(a) f(x) = sin(x)  on [-π/2,π/2]  

(b) f(x) = sin(-x)  on [-π/2,π/2]   

(c) f(x) = cos(x)  on [-π/2,π/2]  

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