How do you simplify the expression costhetatanthetacosθtanθ?

2 Answers
Apr 14, 2018

sinthetasinθ

Explanation:

Recall that tantheta=sintheta/costhetatanθ=sinθcosθ. We then have

cancelcosthetasintheta/cancelcostheta=sintheta

Apr 14, 2018

sintheta

Explanation:

"using the "color(blue)"trigonometric identity"

•color(white)(x)tantheta=sintheta/costheta

rArrcosthetatantheta=cancel(costheta)xxsintheta/cancel(costheta)=sintheta