Mathematics

Mathematics

Problem

Which of the following expressions is identically equal to cos⁡x\cos x for all real xx? a) sin⁡(x−π2)\sin\left(x-\dfrac{\pi}{2}\right) b) cos⁡(x−π2)\cos\left(x-\dfrac{\pi}{2}\right) c) sin⁡(x+π2)\sin\left(x+\dfrac{\pi}{2}\right) d) −sin⁡(x+π2)-\sin\left(x+\dfrac{\pi}{2}\right)

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