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JEE Main 2015 Mathematics question

MathematicsTrigonometric Ratio and IdentitiesJEE Main 2015

If and and is the arithmetic mean of & , then is equal to:

Answer: (2)

Solution

Apply the sum-to-product formulae:

α+β = 2 = Missing argument for \frac\frac32, α+β = 2 = Missing argument for \frac\frac12.

Dividing the second by the first, the common factor cancels and

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Question ID VK-115382