Question

can anyone simplifiy this (csc(θ) (1-cos(θ)^2 ))/cos(θ)

Answer 1

\(1 - \cos^2\theta) = \sin^2 \theta \)

Answer 2

\(\csc\theta = {1 \over {\sin\theta}}\)

Answer 3

so the numerator is

\( {1\over{\sin\theta}}(\sin^2\theta) = \sin\theta\)

Answer 4

\( {{\sin\theta} \over {\cos\theta}} = \tan\theta \)

Answer 5

thanks for that, I am a bit older than the average student and appreciate your reply