Question

Use the sum-to-product formulas to write the given expression as a product.

sin4θ - sin2θ

Answer 1

I came up with 2 cos (6θ/2) sin (2θ/2). Is there any more simplifying to do, or is this it?

Answer 2

@jim_thompson5910

Answer 3

yes you can simplify the 6θ/2 to get 3θ and 2θ/2 to get 1θ or just θ

Answer 4

So it's 2 cos 3θ sinθ ?

Answer 5

correct

Answer 6

Thanks!

Answer 7

notice how the graphs match up perfectly

https://www.desmos.com/calculator/2tgjrnioha

click the graph icon for each function to turn it on/off. You'll see how the blue curve is right on top of the red curve

Answer 8

Yup