JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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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)

is equal to

View answer and explanation

Correct option: C

3 / 2

Option C (

3/2

) is the correct answer. The expression simplifies using trigonometric identities and the property that

\cos(\pi - x) = -\cos(x)

and

\cos(\frac{\pi}{2} - x) = \sin(x)

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