Find the exact value. Do not use a calculator.
-$\sin 495 ^ { \circ }$
A) $\frac { \sqrt { 2 } } { 2 }$
B) $- \frac { \sqrt { 2 } } { 2 }$
C) $\frac { 1 } { 2 }$
D) $- \frac { 1 } { 2 }$

Question

Quizplus · Accepted Answer

$\sin 495^\circ$ can be simplified by subtracting full circles (360 degrees) to get $\sin 135^\circ$, which is in the second quadrant where sine is positive. The exact value of $\sin 135^\circ$ is $\frac{\sqrt{2}}{2}$.

Find the Exact Value sin⁡495∘\sin 495 ^ { \circ }sin495∘ A) 22\frac { \sqrt { 2 } } { 2 }22​​

Find the Exact Value $\sin 495 ^ { \circ }$ A) $\frac { \sqrt { 2 } } { 2 }$