Calciferous Cosine

Geometry Level 2

cos(π4+x)+cos(π4x)=a \large \cos { \left( \frac { \pi }{ 4 } +x \right) } +\cos { \left( \frac { \pi }{ 4 } -x \right) } =a

cos(3π4+x)cos(3π4x)=b \large \cos { \left( \frac { 3\pi }{ 4 } +x \right) } -\cos { \left( \frac { 3\pi }{ 4 } -x \right) } =b

a2+b2= ?{ a }^{ 2 }+{ b }^{ 2 }=\ ?

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