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MHT CET202311 May 2023Evening ShiftMathematicsInverse Trigonometric FunctionsActual

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

Options

  1. A2
  2. B5 4
  3. C3 2
  4. D7 4

Correct answer

C. 3 2

Step-by-step solution

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

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