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JEE Advanced Mathematics question

MathematicsTrigonometric EquationsJEE Advanced

Not in JEE Main syllabus

The positive integral value of satisfying the equation

= +

is

Answer: 7

Solution

Let , so and all the sines are positive. The equation is

Missing argument for \frac\frac1{θ} - Missing argument for \frac\frac1{3θ} = Missing argument for \frac\frac1{2θ} ⇒ = Missing argument for \frac\frac1{2θ} ⇒

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Question ID VK-110811