find the zeros of f(x) = sin^2x-sinx-pie<x<pie

[horsegirl0121]

please help me

f(x)=sin^2x-sinx -pie<x<pie

a) find the zeros of f?

b)find the coordinates of all maximun and minimium

c) find the intervals on which f is increasing and decreasing

 

[tkhunny]

Re: find the zeros of f

f(x)=sin^2x-sinx -pie<x<pie

a) find the zeros of f?

b)find the coordinates of all maximun and minimium

c) find the intervals on which f is increasing and decreasing

1) "Pie" is for eating. "Pi" is for math.
2) f(x) = sin(x)*[sin(x)-1]
3) Now, find those zeros.
4) f'(x) = 2*sin(x)*cos(x) - cos(x) = cos(x)*[2*sin(x) - 1]
5) Now, find those min, max, and directions.