Simplify csc x - cos x cot x

2 answers

1/sin x - cos^2 x/sin x

(1-cos^2 x)/sin x

sin^2 x/sin x

sin x
csc x - cos x cot x
=1/sinx - cosx(cos/sin)
= (1 - cos^2x)/sinx
= sin^2 x/sinx
= sinx