Use a double-angle formula to rewrite the expression.
6 sin x cos x
Hint: sin 2a = 2 sin a cos a
so what is 3 sin 2a?
I know to use that specific formula, but I'm not sure how to incorporate it with the given.
To rewrite the expression 6 sin x cos x using a double-angle formula, we can use the formula:
sin(2θ) = 2sin(θ)cos(θ)
In this case, we can let θ = x, which means sin(2x) = 2sin(x)cos(x).
Therefore, we can rewrite the expression 6 sin x cos x as:
6 * (1/2) * sin(2x)
Simplifying further, we get:
3 sin(2x)