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NDA2014MathematicsInverse Trigonometric FunctionsActual

What is ⁻¹ 3 5 + ⁻¹ 4 5 equal to?

Options

  1. A2
  2. B3
  3. C4
  4. D6

Correct answer

A. 2

Step-by-step solution

Let ⁻¹ 3 5 =x x= 3 5 x= 4 5 and ⁻¹ 4 5 =y y= 4 5 y= 3 5 aligned (x+y) & = x y+ x y & = 3 5 3 5 + 4 5 4 5 = 9 25 + 16 25 = 25 25 =1 (x+y) & = 2 x+y & = 2 & ⁻¹ 3 5 + ⁻¹ 4 5 = 2 . aligned

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