Question

Simplify sin(u - pi) to a single trig function using a sum or difference of angels identity.

Answer 1

- sinu

Explanation:

using the difference identity for sine

sin(a - b) = sinacosb - cosasinb

then

sin(u - π )

= sinucosπ - cosusinπ

= sinu(- 1) - cosu(0)

= - sinu - 0

= - sinu