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Trigonometry

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Angle Addition/ Subtraction for $\sin{255}^{ \circ }$

TRIG-IKK7WE

Find the exact value for $\sin { 255 }^{ \circ }$ by using the angle addition or subtraction formula for sine.

A

$\cfrac{\sqrt{2}-\sqrt{6}}{2}$

B

$\cfrac{-\sqrt{2}-\sqrt{6}}{4}$

C

$\cfrac{\sqrt{2}+\sqrt{6}}{4}$

D

$\cfrac{\sqrt{6}-\sqrt{2}}{4}$

E

$\cfrac{\sqrt{2}-\sqrt{6}}{4}$