Question

What is `(3tantheta)/4` in terms of `costheta`?

Answer 1

`=3/4 sqrt(1-cos^2(theta))/cos(theta)`

Explanation:

`3/4 tan(theta)`

Rewriting `tan(theta)` in terms of `sin(theta)/cos(theta)`
`=3/4 sin(theta)/cos(theta)`

Use the identity to change sine to cosine
`sin^2(theta) = 1-cos^2(theta)`

`=3/4 sqrt(1-cos^2(theta))/cos(theta)` Answer as needed.