Question

Identity trig simplification

Answer 1

\[\tan (\frac{ \pi }{ 2 }-\theta)\cot \theta-\csc^2\theta \]

Answer 2

I'm getting -1, is that correct..?

Answer 3

tan(pi/2-theta)=cot

cot x cot=cot^2 theta

-csc^2=-1-cot^2

cot^2-1-cot^2=-1?

Answer 4

yeap

Answer 5

it's -1, yes

Answer 6

thanks for the confirmation

Answer 7

yw