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JEE Main2007MathematicsInverse Trigonometric FunctionsActual

If ⁻¹ ( x 5 )+ cosec ⁻¹ ( 5 4 )= 2 then a value of x is

Options

  1. A1
  2. B3
  3. C4
  4. D5

Correct answer

B. 3

Step-by-step solution

⁻¹ x 5 + ⁻¹ 4 5 = 2 ⁻¹ x 5 = ⁻¹ 4 5 ⁻¹ x 5 = ⁻¹ 3 5 x=3 .

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