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KCET2021MathematicsInverse Trigonometric Functions

⁻¹ [ 1 3 5 2 ] + ⁻¹ [ ( ⁻ 3 2 ) ] is equal to

Options

  1. A0
  2. B6
  3. C3

Correct answer

C. 3

Step-by-step solution

Given, aligned &= ⁻¹ [ 1 3 5 2 ] ⁻¹ [ ( ⁻¹ ( 3 2 ) ) ] &= ⁻¹ [ 1 3 (2 + 2 ) ] ⁻¹ [ ( 3 ) ] &= ⁻¹ [ 1 3 2 ] ⁻¹ [ 3 ] &= ⁻¹ [ 1 3 1 ] ⁻¹ [ 1 2 ] &= 6 6 = ( 6 )² aligned

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