Question

Question #7c973

Answer 1

`sin^2 t + 2`

Explanation:

`f(t) = 3sin^3 t.csc t + 2cos (-t).cos t`
Because `csc t= 1/(sin t)` and `cos (-t) = cos t`, then:
`f(t) = 3 sin^3 t(1/(sin t)) + 2cos^2 t = 3sin^2 t + 2cos ^2 t =`
`f(t) = sin^2 t + 2(sin^2 t + cos^2 t) = sin^2 t + 2`