Question

What is `(5sintheta)/2` in terms of `cottheta`?

Answer 1

Write `(5/2)sin x` in terms of cot x.

Explanation:

Use the trig identity: `sin^2 x = 1/(1 + cos^2 x)`
`sin x = (1/(1 + cot x))^(1/2)`
`(5/2)sin x = (5/2)(1/(1 + cot^2 x))^(1/2) = [25/(4(1 + cot^2 x))]^(1/2)`