Find the Exact Value $\left( \cos \frac { 3 \pi } { 8 } + \cos \frac { \pi } { 8 } \right) ^ { 2 }$

question 49

Multiple Choice

Find the exact value. $\left( \cos \frac { 3 \pi } { 8 } + \cos \frac { \pi } { 8 } \right) ^ { 2 }$

• A) \(\sqrt { 2 }\)
• B) \(1 + \frac { \sqrt { 2 } } { 2 }\)
• C) \(\sqrt { \frac { 2 - \sqrt { 2 } } { 2 } }\)
• D) \(\sqrt { 2 + \sqrt { 2 } }\)
• E) \(2 - \sqrt { 2 }\)

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