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NTA Abhyas JEE Main2020MathematicsInverse Trigonometric FunctionsPractice

The value of cos ⁡ tan - 1 ⁡ 3 4 + cos ⁡ tan - 1 ⁡ x is equal to

Options

  1. A4 5 + x 1 + x 2
  2. B3 5 + 1 1 + x 2
  3. C4 5 + 1 1 + x 2
  4. D3 5 + x 1 x 2

Correct answer

C. 4 5 + 1 1 + x 2

Step-by-step solution

cos ⁡ tan - 1 ⁡ 3 4 + cos ⁡ tan - 1 ⁡ x = cos ⁡ cos - 1 ⁡ 4 5 + cos ⁡ cos - 1 ⁡ 1 1 + x 2 = 4 5 + 1 1 + x 2

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