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MHT CET202016 Oct 2020Morning ShiftMathematicsInverse Trigonometric FunctionsActual

The value of ⁻¹ (- 1 2 )+ ⁻¹ (- 3 2 ) is

Options

  1. A⁻¹ ( 1 2 )
  2. B⁻¹ (- 1 2 )
  3. C⁻¹ (- 1 2 )
  4. D⁻¹ (- 3 2 )

Correct answer

C. ⁻¹ (- 1 2 )

Step-by-step solution

(D) Let ⁻¹ ( -1 2 )= , where - 2 2 = -1 2 =- 6 = ( - 6 ) =- / 6 Let ⁻¹ ( - 3 2 )= , where 0 = - 3 2 = - 6 ( - 6 )= 5 6 = 5 6 ⁻¹ ( -1 2 )+ ⁻¹ ( - 3 2 )= - 6 + 5 6 = 4 6 = 2 3 = ⁻¹ ( -1 2 )

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