Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.

Question

Quizplus · Accepted Answer

Using the fundamental identity $\sin^2 x + \cos^2 x = 1$, we can simplify the expression as $11\cos^2(	heta)\sin^2(	heta)$. Then, using the double angle formula $\sin(2x) = 2\sin(x)\cos(x)$, we can simplify further as $11\cdot\frac{1}{2}\sin(2	heta)\cdot\frac{1}{2}\cos(2	heta) = \frac{11}{4}\sin(2	heta)\cos(2	heta)$. 
Comparing this with the answer choices, we see that only option D is not equivalent, as it has a different value for $\sin(2	heta)\cos(2	heta)$.

Use Fundamental Identities to Simplify the Expression Below and Then