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JEE Main 2022 Mathematics question

MathematicsTrigonometric EquationsJEE Main 2022

Not in JEE Main syllabus

If the sum of solutions of the system of equations − cos and sin in the interval [0, ] is , then k is equal to .

Answer: 3

Solution

The first equation gives , so and sin , i.e. , , , . The second gives sin ,

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Question ID VK-025098