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The value of cos^2 48° – sin^2 12° is A. (√5 + 1)/8

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The value of cos2 48° – sin2 12° is

A. \(\frac{\sqrt{5} + 1}{8}\)

B. \(\frac{\sqrt{5} - 1}{8}\)

C. \(\frac{\sqrt{5} + 1}{5}\)

D. \(\frac{\sqrt{5} + 1}{2\sqrt{2}}\)

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1 Answer

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Best answer

Correct answer is A.

Given

cos2 48° – sin2 12°

[by using the formula cos 2x = 2cos2 x – 1 and cos2x = 1 – 2sin2x]

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