Question

Cosθ(tanθ + cotθ) =

• cscθ

• secθ

• cos^2θ

• 1

Answer 1

`\cos \theta(\tan \theta + \cot \theta)\\\\=\cos \theta \tan \theta + \cos \theta \cot \theta \\\\=\cos \theta \left ((\sin \theta)/(\cos \theta) \right)+ \cos \theta \left((\cos \theta)/(\sin \theta) \right)\\\\\\=\sin \theta + (\cos^2 \theta)/(\sin \theta)\\\\=(\sin^2 \theta + \cos^2 \theta)/(\sin \theta)\\\\=\frac 1{\sin \theta}\\\\=\csc \theta`

Answer 2

ayo i think is ufo trying to communicate hey alien we come in peace

Explanation: