Find the exact value of the expression.
-$\sin \left( \cos ^ { - 1 } \frac { 1 } { 2 } - \sin ^ { - 1 } \frac { \sqrt { 3 } } { 2 } \right)$
A) 0

B) $\frac { \sqrt { 3 } } { 3 }$

C) $\frac { 2 \sqrt { 3 } } { 2 }$

D) 1

Question

Find the exact value of the expression.
-$\sin \left( \cos ^ { - 1 } \frac { 1 } { 2 } - \sin ^ { - 1 } \frac { \sqrt { 3 } } { 2 } \right)$
A) 0

B) $\frac { \sqrt { 3 } } { 3 }$

C) $\frac { 2 \sqrt { 3 } } { 2 }$

D) 1

Quizplus · Accepted Answer

The expression simplifies to $\sin(60^\circ - 30^\circ) = \sin(30^\circ) = \frac{1}{2}$. However, none of the given options matches this exact value, indicating a possible mistake in the interpretation of the options. The correct mathematical simplification leads to $\sin(30^\circ)$, which is $\frac{1}{2}$, but this answer is not listed among the options provided.

Find the Exact Value of the Expression sin⁡(cos⁡−112−sin⁡−132)\sin \left( \cos ^ { - 1 } \frac { 1 } { 2 } - \sin ^ { - 1 } \frac { \sqrt { 3 } } { 2 } \right)sin(cos−121​−sin−123​​)

Find the Exact Value of the Expression $\sin \left( \cos ^ { - 1 } \frac { 1 } { 2 } - \sin ^ { - 1 } \frac { \sqrt { 3 } } { 2 } \right)$