Use the fundamental identities to simplify the expression.
-sin 13° - sin 44°
A)2 cos 28.5° sin(-15.5°)
B)2 cos 28.5° cos(-15.5°)
C)2 sin 28.5° cos(-15.5°)
D)2 sin 28.5° sin(-15.5°)

Question

Quizplus · Accepted Answer

The expression sin 13° - sin 44° can be simplified using the identity for the difference of sines: sin A - sin B = 2 cos((A+B)/2) sin((A-B)/2). Here, A = 44° and B = 13°, so the expression becomes 2 cos(28.5°) sin(-15.5°).

Use the Fundamental Identities to Simplify the Expression