The result of the trigonometric identity (sin x)( sin y) is
A) 0.5 cos(x-y) - 0.5 cos(x+y)
B) cos(x-y) - cos(x+y)
C) -0.5 cos(x-y) + 0.5cos(x+y)
D) -0.5 cos(x-y) + cos(x+y)
E) none of the above

Question

Quizplus · Accepted Answer

The correct result of the trigonometric identity for $(\sin x)(\sin y)$ is $0.5 \cos(x-y) - 0.5 \cos(x+y)$, which is derived from the sum-to-product formulas in trigonometry.

The Result of the Trigonometric Identity (Sin X)( Sin Y)