![\cos(\pi \div 4 + x) + \cos(\pi \div 4 - x) = \sqrt{2 \cos(x) } \cos(\pi \div 4 + x) + \cos(\pi \div 4 - x) = \sqrt{2 \cos(x) }](https://tex.z-dn.net/?f=+%5Ccos%28%5Cpi+%5Cdiv+4+%2B+x%29++%2B++%5Ccos%28%5Cpi+%5Cdiv+4+-+x%29+%3D++%5Csqrt%7B2+%5Ccos%28x%29+%7D++)
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Answer:
cos(π÷4+x)+cos(π÷4−x)=
2cos(x)
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