Question

f(x)=sin(^2)x-3sinxcosx+2cos(^2)x
g(x)=f(x)-f(Pi/2-x)
Find g(Pi/8)

Answer 1

f(Pi/2-x)

change sines to cosine

Answer 2

f(Pi/2 -x)= Cos^2(x)- 3 sin(x) cos(x)+ 2 Sin^2(x)

so it turn out to be the same

Answer 3

f(x)- f(Pi/2 -x )=0

since they are the same

Answer 4

Thanks!