cos(3π/4+x)+cos(3π/4-x)=-√2 sinx
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= cos(2pi - (pi/4 - x)) + cos(2pi - (pi/4 + x))
= cos(pi/4 - x) + cos(pi/4 + x)
= 2 sin(pi/4) sin(x)
= 2 (1/√2) sinx
= √2 sinx
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