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JEE Advanced Mathematics question

MathematicsTrigonometric Ratio and IdentitiesJEE Advanced

If and , and , then the value of is

Answer: (A)

Solution

From the first equation, . From the second, . Squaring and adding:

2φ+ 2φ=9θ+9θθ=9θ(θ+θ)=9θ=1.

As is acute, $θ=Missing argument for \frac\frac1

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Question ID VK-108560