Write sin (8x) cos (3x) + cos (8x) sin (3x) as a single trigonometric function.
A) sin 5x
B) cos 5x
C) sin 11x
D) cos 11x

Name: Write sin (8x) cos (3x) + cos (8x) sin (3x) as a single trigonometric function. A) sin 5x B) cos 5x C) sin 11x D) cos 11x
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Question

Quizplus · Accepted Answer

This expression can be simplified using the trigonometric identity for sine addition: sin(A + B) = sinA cosB + cosA sinB. Applying this to sin(8x) cos(3x) + cos(8x) sin(3x), it simplifies to sin(8x + 3x) = sin(11x).

Write Sin (8x) Cos (3x) + Cos (8x) Sin (3x)