State the open intervals on which y=sin(x) is increasing or decreasing, on the domain 0

Question

State the open intervals on which y=sin(x) is increasing or decreasing, on the domain 0 <= x 2pi. Justify your intervals using the derivative sign. Angles are in radians.

Accepted Answer

Increasing on $0<x<\dfrac\pi2$ and $\dfrac{3\pi}{2}<x<2\pi$; decreasing on $\dfrac\pi2<x<\dfrac{3\pi}{2}$.

Increasing and decreasing intervals

Increasing and decreasing intervals

Solution:

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