Prove that 1/tanθ = cosθ/sinθ

Answer 1

Prove that 1/tanθ = cosθ/sinθ

We know by trig identities that tanθ= sinθ/cosθ.

1/tanθ = 1/(sinθ/cosθ) by the trig identity above

1/(sinθ/cosθ) = cosθ/sinθ by simplification

Thus, 1/tanθ = cosθ/sinθ.