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Question 50
Given that cos(15∘) =2+32 \cos \left(15^{\circ}\right) =\frac{\sqrt{2+\sqrt{3}}}{2} cos(15∘) =22+3 , find an exact expression for cos165∘ \cos 165^{\circ} cos165∘ .
A) −2+32 -\frac{\sqrt{2+\sqrt{3}}}{2} −22+3 B) −2−32 -\frac{\sqrt{2-\sqrt{3}}}{2} −22−3 C) 2+32 \frac{\sqrt{2+\sqrt{3}}}{2} 22+3 D) 2−32 \frac{\sqrt{2-\sqrt{3}}}{2} 22−3
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