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MHT CET20228 Aug 2022Morning ShiftMathematicsInverse Trigonometric FunctionsActual

The value of ⁻¹ ( 1 3 )+ ⁻¹ ( 1 5 )+ ⁻¹ ( 1 7 )+ ⁻¹ ( 1 8 ) is

Options

  1. A4 3
  2. B4
  3. C2 4
  4. D3 4

Correct answer

B. 4

Step-by-step solution

aligned & ⁻¹ ( 1 3 )+ ⁻¹ ( 1 5 )+ ⁻¹ ( 1 7 )+ ⁻¹ ( 1 8 ) & = ⁻¹ ( 1 3 + 1 5 1- 1 3 1 5 )+ ⁻¹ ( 1 7 + 1 8 1- 1 7 1 8 ) & = ⁻¹ ( 4 7 )+ ⁻¹ ( 3 11 ) & = ⁻¹ 4 7 + 3 11 (1- 4 7 3 11 ) = ⁻¹ ( 65 65 )= ⁻¹(1)= 4 aligned

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