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COMEDK2013MathematicsInverse Trigonometric Functions

If ⁻¹ x 5 + cosec ⁻¹ 5 4 = 2 , then x is equal to

Options

  1. A1
  2. B4
  3. C3
  4. D5

Correct answer

C. 3

Step-by-step solution

We have, ⁻¹ x 5 + cosec ⁻¹ 5 4 = 2 ⁻¹ x 5 + ⁻¹ 4 5 = 2 ⁻¹ x 5 + ⁻¹ 3 5 = 2 ⁻¹ x 5 = 2 - ⁻¹ 3 5 ⁻¹ x 5 = ⁻¹ 3 5 x 5 = 3 5 x=3

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