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JEE Advanced Mathematics question

MathematicsTrigonometric EquationsJEE Advanced

Not in JEE Main syllabus

If is equal to 1 for exactly 7 distinct values of , , then the greatest value of is

Answer: (D)

Solution

.

Since , is impossible; so , i.e. . Let (note ). The positive solutions in increasing order are

β,\ 2π

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Question ID VK-108538