f(x)=cos⁡2x+cos⁡2(π3+x)−cos⁡x⋅cos⁡(x+π3)f(x) = \cos^2 x + \cos^2\left(\frac{\pi}{3} + x\right) - \cos x \cdot \cos\left(x + \frac{\pi}{3}\right)…

Mathematics

Problem

f(x)=cos⁡2x+cos⁡2(π3+x)−cos⁡x⋅cos⁡(x+π3)f(x) = \cos^2 x + \cos^2\left(\frac{\pi}{3} + x\right) - \cos x \cdot \cos\left(x + \frac{\pi}{3}\right) is a. an odd function b. an even function c. a periodic function d. f(0)=f(1)f(0) = f(1)

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