Find the exact value of the expression. Do not use a calculator.
-$\cos 60 ^ { \circ } \sin 30 ^ { \circ } + \sin 60 ^ { \circ } \cos 30 ^ { \circ }$
A) 1
B) 0
C) $- 1$
D) 2 )2

Question

Quizplus · Accepted Answer

This expression is an application of the sine addition formula, $\sin(a + b) = \sin a \cos b + \cos a \sin b$. Here, $a = 60^\circ$ and $b = 30^\circ$, so the expression simplifies to $\sin(60^\circ + 30^\circ) = \sin(90^\circ)$, which equals 1.

Find the Exact Value of the Expression cos⁡60∘sin⁡30∘+sin⁡60∘cos⁡30∘\cos 60 ^ { \circ } \sin 30 ^ { \circ } + \sin 60 ^ { \circ } \cos 30 ^ { \circ }cos60∘sin30∘+sin60∘cos30∘

Find the Exact Value of the Expression $\cos 60 ^ { \circ } \sin 30 ^ { \circ } + \sin 60 ^ { \circ } \cos 30 ^ { \circ }$