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Prove cos⁡(x+π4)=−sin⁡(x−π4)\cos \left( x + \frac { \pi } { 4 } \right) = - \sin \left( x - \frac { \pi } { 4 } \right)

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Prove cos⁡(x+π4)=−sin⁡(x−π4)\cos \left( x + \frac { \pi } { 4 } \right) = - \sin \left( x - \frac { \pi } { 4 } \right) .

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