Theory of Intelligence
11TH•Mathematics•Trigonometric Identities•Question 2

(xv)

Prove the following identities:

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(xv)

cos⁡2π8+cos⁡23π8+cos⁡25π8+cos⁡27π8=2\cos^2\dfrac{\pi}{8} + \cos^2\dfrac{3\pi}{8} + \cos^2\dfrac{5\pi}{8} + \cos^2\dfrac{7\pi}{8} = 2

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