Question

How would I prove this trig identity in three steps?
secθ/tanθ=cscθ

Answer 1

\(\sf \color{}{sec = \frac{1}{cos},~tan = \frac{sin}{cos},~and~csc = \frac{1}{sin}}\)

Answer 2

expand the left-side as shown above by abb0t and simplify

Answer 3

\(\bf \cfrac{sec(\theta)}{tan(\theta)}\implies \cfrac{\frac{1}{cos(\theta)}}{\frac{sin(\theta)}{cos(\theta)}}\)

Answer 4

see what that gives you