Rewrite cscθ/cotθ in terms of sine and cosine.

Question

Rewrite cscθ/cotθ in terms of sine and cosine. Simplify your answer. 

Answer 1

you should be able to do this, simply by following instructions and using the definition that cosecant equals the reciprocal of sine, and  cotangent = cosine divided by sine.  also, remember that to divide by a fraction, you multiply by its reciprocal.

 

now go for it!

Answer 2

cscθ/cotθ

(1/sinθ)÷(cosθ/sinθ)

(1/sinθ)*(sinθ/cosθ)

simplify by cancelling the sinθ's

1/cosθ