Question

Anyone know how to prove these are equal to one another? I also need all the steps.

Answer 1

Explanation:

it can be simplified to
`(sec \theta)/(cot\theta+tan\theta) =sin\theta` . if you multiply each side by the denominator, it becomes
`sec\theta=(sin^2\theta)/(cos\theta) + cos\theta` since
`tan\theta=(sin\theta)/(cos\theta)` and cotan is the reciprocal of that. Because
`sec\theta=(1)/(cos\theta)` so multiplying each side gives
`1=sin^2\theta+cos^2\theta`, and
`sin^2\theta+cos^2\theta` is equal to 1.