JEE Main 2024 Mathematics question
Let the inverse trigonometric functions take principal values. The number of real solutions of the equation 2 sin⁻¹x + 3 cos⁻¹x = 2π/5, is .
Answer: 0
Solution
Using sin⁻¹x + cos⁻¹x = π/2, 2 sin⁻¹x + 3 cos⁻¹x = π + cos⁻¹x. Setting this equal to 2π/5 gives cos⁻¹x =
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