Practice!

Sample Problem

Does csc x-sin x=cosxcotx?

Solution

Convert everything into sines and cosines.

(1/sin x)-sin x=cos x(cos x/sin x)

(1/sin x)-(sin2x/sin x)=cos2x/sin x

(1-sin2x/sin x)=cos2x/sin x

cos2x/sin x=cos2x/sin x

Yes!