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JEE Advanced Mathematics question

MathematicsTrigonometric Ratio and IdentitiesJEE Advanced

For , the solution(s) of

\operatorname{cosec}(θ + )\operatorname{cosec}(θ + ) = 4Missing argument for \sqrt\sqrt2

is/are

Answer: (C),(D)

Solution

Telescoping: for any with ,

\operatorname{cosec}A\operatorname{cosec}B = · = Missing argument for \sqrt\sqrt2 ( A - B).

Summing for :

Missing argument for \sqrt\sqrt2[θ - (θ + )] =

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Question ID VK-110722