Find the exact value of the expression.
-$\sin \frac { \pi } { 12 }$
A) $\frac { \sqrt { 2 } ( \sqrt { 3 } - 1 ) } { 4 }$

B) $\sqrt { 2 } ( \sqrt { 3 } - 1 )$

C) $- \sqrt { 2 } ( \sqrt { 3 } - 1 )$

D) $- \frac { \sqrt { 2 } ( \sqrt { 3 } - 1 ) } { 4 }$

Question

Find the exact value of the expression.
-$\sin \frac { \pi } { 12 }$
A) $\frac { \sqrt { 2 } ( \sqrt { 3 } - 1 ) } { 4 }$

B) $\sqrt { 2 } ( \sqrt { 3 } - 1 )$

C) $- \sqrt { 2 } ( \sqrt { 3 } - 1 )$

D) $- \frac { \sqrt { 2 } ( \sqrt { 3 } - 1 ) } { 4 }$

Quizplus · Accepted Answer

$\sin \frac{\pi}{12}$ can be found using the half-angle formula or by expressing $\frac{\pi}{12}$ as $\frac{\pi}{3} - \frac{\pi}{4}$ and then using the sine difference formula. The correct value is $\frac{\sqrt{2}(\sqrt{3} - 1)}{4}$.

Find the Exact Value of the Expression sin⁡π12\sin \frac { \pi } { 12 }sin12π​

Find the Exact Value of the Expression $\sin \frac { \pi } { 12 }$