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Manipal MET2018MathematicsInverse Trigonometric Functions

⁻¹ 1 5 + ⁻¹ 3 10 is equal to

Options

  1. A/ 6
  2. B/ 4
  3. C/ 3
  4. D2 / 3

Correct answer

B. / 4

Step-by-step solution

⁻¹ 1 5 + ⁻¹ 3 10 Now, ⁻¹ 1 5 = ⁻¹ ( 1 / 5 1- 1 5 )= ⁻¹ 1 2 and ⁻¹ 3 10 = ⁻¹ ( 1- 9 10 3 10 )= ⁻¹ 1 3 ⁻¹ 1 2 + ⁻¹ 1 3 = ⁻¹ ( 1 2 + 1 3 1- 1 6 )= ⁻¹(1)= 4

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