Express the sum or difference as a product.
-$\sin 4 x - \sin 6 x$
A) $- 2 \sin x \cos 5 x$
B) $2 \cos 4 x \cos 5 x$
C) $2 \sin 5 x \cos x$
D) $- 2 \sin x$

Question

Quizplus · Accepted Answer

The expression $\sin 4x - \sin 6x$ can be transformed into a product using the sine subtraction formula: $\sin A - \sin B = 2 \cos \left(\frac{A + B}{2}\right) \sin \left(\frac{A - B}{2}\right)$. Applying this formula, we get $-2 \sin x \cos 5x$.

Express the Sum or Difference as a Product sin⁡4x−sin⁡6x\sin 4 x - \sin 6 xsin4x−sin6x

Express the Sum or Difference as a Product $\sin 4 x - \sin 6 x$