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JEE Main 2022 Mathematics question

MathematicsTrigonometric EquationsJEE Main 2022

Let , Extra open brace or missing close brace\pi /2) - {-\pi /2, , , Extra close brace or missing open brace\pi /4}. Then the number of elements in the set Extra open brace or missing close braceA = {\theta \in S : Extra close brace or missing open brace\tan \theta (1 + \sqrt{5} \tan (2\theta )) = \sqrt{5} - \tan (2\theta )} is .

Answer: 5

Solution

Let tan . The equation tan − tan gives tan − tan + tan tan ). So $θ = α - 2θ +

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Question ID VK-034712