JEE Main 2016 Mathematics question

Not in JEE Main syllabus

If 0 ≤ x < 2π, then the number of real values of x, which satisfy the equation cos x + cos 2x + cos 3x + cos 4x = 0, is :

Answer: (C)

Solution

The sum equals . Zeros in [0, 2π): gives

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Question ID VK-008935