Question

Use the power-reducing formulas to rewrite the expression in terms of first powers of the cosines of multiple angles.sin2(3x) cos2(3x)

Answer 1

Answer:

Explanation:

Here, we want to use the power-reducing formula

We have that as follows:

$\begin{gathered} sin^2(3x)cos^2(3x)\text{ = } \\ sin^2\text{ 3x = }\frac{1-cos\text{ 6x}}{2} \\ \\ cos^23x\text{ = }\frac{1+cos\text{ 6x}}{2} \end{gathered}$

Thus, we have the product as: