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Prove the Identity sin⁡(π4+x)=22(cos⁡x+sin⁡x)\sin \left( \frac { \pi } { 4 } + x \right) = 2 \sqrt { 2 } ( \cos x + \sin x )

Question 146

Essay

Prove the identity.
- sin⁡(π4+x)=22(cos⁡x+sin⁡x)\sin \left( \frac { \pi } { 4 } + x \right) = 2 \sqrt { 2 } ( \cos x + \sin x )

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