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MHT CET202415 May 2024Morning ShiftMathematicsInverse Trigonometric FunctionsActual

2 - ( ⁻¹ 4 5 + ⁻¹ 5 13 + ⁻¹ 16 65 ) is equal to

Options

  1. A2
  2. B5 4
  3. C7 4
  4. D3 2

Correct answer

D. 3 2

Step-by-step solution

aligned 2 - & [ ( ⁻¹ 4 5 + ⁻¹ 5 13 )+ ⁻¹ 16 65 ] & =2 - [ ( ⁻¹ 4 3 + ⁻¹ 5 12 )+ ⁻¹ 16 65 ] & =2 - [ ⁻¹ ( 4 3 + 5 12 1- 4 3 5 12 )+ ⁻¹ 16 65 ] & =2 - [ ⁻¹ ( 63 16 )+ ⁻¹ ( 16 65 ) ] & =2 - [ ⁻¹ ( 16 65 )+ ⁻¹ ( 16 65 ) ] & =2 - 2 = 3 2 aligned

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