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Manipal MET2015MathematicsInverse Trigonometric Functions

The value of ⁻¹ ( ⁻¹ 2- 3 4 . . . .+ ⁻¹ 12 4 + ⁻¹ 2 ) is

Options

  1. A4
  2. B6
  3. C0
  4. D2

Correct answer

C. 0

Step-by-step solution

We have, ⁻¹ ( ⁻¹ 2- 3 4 . . . .+ ⁻¹ 12 4 + ⁻¹ 2 ) aligned & = ⁻¹ ( ⁻¹ 3 -1 2 2 + ⁻¹ 3 2 + ⁻¹ 2 ) & = ⁻¹ ( 12 + 6 + 4 ) & = ⁻¹ ( 2 ) & = ⁻¹ 0=0 aligned

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