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NDA2021MathematicsInverse Trigonometric FunctionsActual

What is the value of the following? [ ⁻¹ 3 5 + ⁻¹ 3 2 ]

Options

  1. A6 17
  2. B7 16
  3. C16 7
  4. D17 6

Correct answer

A. 6 17

Step-by-step solution

aligned & Let ⁻¹ 3 5 = = 3 5 & = 3 5^2-3^2 = 3 4 & = [ ⁻¹ 3 4 + ⁻¹ 2 3 ] & = [ ⁻¹ ( 3 4 + 2 3 1- 3 4 2 3 ) ] & = [ ⁻¹ ( 17 6 ) ]= [ ⁻¹ ( 6 17 ) ]= 6 17 aligned

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