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NDA2018MathematicsInverse Trigonometric FunctionsActual

What is ⁻¹ ( 1 4 )+ ⁻¹ ( 3 5 ) equal to?

Options

  1. A0
  2. B4
  3. C3
  4. D2

Correct answer

B. 4

Step-by-step solution

⁻¹ ( 1 4 )+ ⁻¹ ( 3 5 ) We know, ⁻¹ x+ ⁻¹ y= ⁻¹ ( x+y 1-x y ) So, ⁻¹ ( 1 4 )+ ⁻¹ ( 3 5 )= ⁻¹ ( 1 4 + 3 5 1- ( 1 4 ) ( 3 5 ) ) aligned & = ⁻¹ ( 5+12 20 1- 3 20 ) & = ⁻¹ ( 17 20 17 20 )= ⁻¹(1)= 4 aligned

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