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JEE Main2008MathematicsInverse Trigonometric FunctionsActual

The value of ( cosec ⁻¹ 5 3 + ⁻¹ 2 3 ) is

Options

  1. A6 17
  2. B3 17
  3. C4 17
  4. D5 17

Correct answer

A. 6 17

Step-by-step solution

aligned & Let E= ( cosec ⁻¹ 5 3 + ⁻¹ 2 3 ) & E= ( ⁻¹ ( 3 4 )+ ⁻¹ ( 2 3 ) ) & E= ( ⁻¹ ( 3 4 + 2 3 1- 3 4 2 3 ) ) & E= ( ⁻¹ 17 6 )= 6 17 . aligned

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