Question

Can someone check this one for me , thank you!

Answer 1

C

Explanation:

Using sum/difference to product identity

• sin x - sin y = 2 cos(
`(x+y)/(2)`) sin (
`(x-y)/(2)`)

with x = 4Θ and y = 2Θ

Then

sin(4Θ) - sin(2Θ)

= 2 cos(
`(4o+2o)/(2)`) sin(
`(4o-2o)/(2)`)

= 2cos(3Θ)sinΘ → C