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NDA2013MathematicsInverse Trigonometric FunctionsActual

What is ⁻¹ ( 1 2 )+ ⁻¹ ( 1 3 ) equal to?

Options

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

Correct answer

C. 4

Step-by-step solution

We know that ⁻¹ m+ ⁻¹ n= ⁻¹ ( m+n 1-m n ) Here, m= 1 2 , n= 1 3 aligned & ⁻¹ ( 1 2 )+ ⁻¹ ( 1 3 ) & = ⁻¹ ( 1 2 + 1 3 1- 1 2 1 3 )= ⁻¹ ( 5 5 ) aligned = ⁻¹(1)= 4

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