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MHT CET202311 May 2023Morning ShiftMathematicsInverse Trigonometric FunctionsActual

The value of 2 ⁻¹ 1 2 + ⁻¹ 1 7

Options

  1. A⁻¹ ( 17 31 )
  2. B⁻¹ ( 19 31 )
  3. C⁻¹ ( 31 17 )
  4. D⁻¹ ( 31 19 )

Correct answer

C. ⁻¹ ( 31 17 )

Step-by-step solution

aligned & 2 ⁻¹ 1 2 + ⁻¹ 1 7 & = ⁻¹ ( 2 ( 1 2 ) 1- ( 1 2 )^2 )+ ⁻¹ ( 1 7 ) & = ⁻¹ ( 4 3 )+ ⁻¹ ( 1 7 ) & = ⁻¹ ( 4 3 + 1 7 1- ( 4 3 ) ( 1 7 ) ) & = ⁻¹ ( 31 17 ) aligned

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