Find the exact value of the expression.
-$\sin 195 ^ { \circ } \cos 75 ^ { \circ } - \cos 195 ^ { \circ } \sin 75 ^ { \circ }$
A) $\frac { \sqrt { 3 } } { 2 }$
B) $- \frac { \sqrt { 3 } } { 2 }$
C) $- \frac { 13 } { 4 }$
D) $- \frac { 1 } { 2 }$

Question

Quizplus · Accepted Answer

The expression is equal to $\sin (195 ^ { \circ } - 75 ^ { \circ }) = \sin 120 ^ { \circ } = \frac { \sqrt { 3 } } { 2 }$.

Find the Exact Value of the Expression sin⁡195∘cos⁡75∘−cos⁡195∘sin⁡75∘\sin 195 ^ { \circ } \cos 75 ^ { \circ } - \cos 195 ^ { \circ } \sin 75 ^ { \circ }sin195∘cos75∘−cos195∘sin75∘

Find the Exact Value of the Expression $\sin 195 ^ { \circ } \cos 75 ^ { \circ } - \cos 195 ^ { \circ } \sin 75 ^ { \circ }$