Answer:
C
Step-by-step explanation:
Using sum/difference to product identity
• sin x - sin y = 2 cos([tex]\frac{x+y}{2}[/tex]) sin ([tex]\frac{x-y}{2}[/tex])
with x = 4Θ and y = 2Θ
Then
sin(4Θ) - sin(2Θ)
= 2 cos([tex]\frac{4o+2o}{2}[/tex]) sin([tex]\frac{4o-2o}{2}[/tex])
= 2cos(3Θ)sinΘ → C
