Given f (x) = 1 / 2 (SiNx + cosx) - 1 / 2 absolute value SiNx + cosx, find the range of F (x) | Math enthusiast | Mathematical art

Given f (x) = 1 / 2 (SiNx + cosx) - 1 / 2 absolute value SiNx + cosx, find the range of F (x)

When SiNx + cosx ≥ 0
F (x) = 1 / 2 (SiNx + cosx) - 1 / 2 absolute value SiNx + cosx = 0
sinx+cosx

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