Consider the trigonometric function on the interval (0,2pi). Find the open intervals on which the function is increasing or decreasing.

My first questions is

1.f(x)=sin^2(x)+sin(x)

2 sin(x) cos(x)+cos(x)

cos(x) 2sin(x)+1=0 (factor)

sin(x)=-1/2

x=7pi/6,11pi/6 Did I do this correctly

My second question is

f(x)=(x-1)^(2/3)

(2/3)(x-1)^(-1/3)(1)=0

How would I solve this one I seem to be getting an incorrect answer