Rewrite the expression tan(90°−θ)sinθ as one of the six trigonometric functions of acute angle thetaθ.

Question

Please show work + answer. I have a few of them to do. Thanks.

Answer 1

tan(90º - Θ) = cotan(Θ)

cotan(Θ) = cos(Θ) / sin(Θ)

[cos(Θ) / sin(Θ)] * sin(Θ) = cos(Θ)