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Find the Exact Value by Using a Half-Angle Identity cos⁡22.5∘\cos 22.5 ^ { \circ }

Question 1

Multiple Choice

Find the exact value by using a half-angle identity.
- cos⁡22.5∘\cos 22.5 ^ { \circ }


A) 122−2\frac { 1 } { 2 } \sqrt { 2 - \sqrt { 2 } }
B) 122+2\frac { 1 } { 2 } \sqrt { 2 + \sqrt { 2 } }
C) −122+2- \frac { 1 } { 2 } \sqrt { 2 + \sqrt { 2 } }
D) −122−2- \frac { 1 } { 2 } \sqrt { 2 - \sqrt { 2 } }

Correct Answer:

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