Question

How do you simplify cot θ/cos θ ?

Answer 1

`csc(θ)`

Explanation:

Recall that

`cot θ=cos(θ)/sin(θ)`

Rewrite your expression:

`cos(θ)/[sin(θ)cos(θ)]`

`cos(θ)` cancels out, and we're left with:

`1/sin(θ)`

`1/sin(θ)=csc(θ)`