JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1

The value of

\cos ^4\left(\frac{\pi}{8}\right)+\cos ^4\left(\frac{3 \pi}{8}\right)+\cos ^4\left(\frac{5 \pi}{8}\right)+\cos ^4

\left(\frac{7 \pi}{8}\right)

View answer and explanation

Correct option: C

3 / 2

Option C (3/2) is correct because by using trigonometric identities and simplifying, the expression

\cos^4(\frac{\pi}{8}) + \cos^4(\frac{3\pi}{8}) + \cos^4(\frac{5\pi}{8}) + \cos^4(\frac{7\pi}{8})

simplifies to

\frac{3}{2}

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