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COMEDK2020MathematicsInverse Trigonometric Functions

The value of [2 ⁻¹ 5 3 ] is

Options

  1. A2 5 3
  2. B5 3
  3. C2 5 9
  4. D4 5 9

Correct answer

D. 4 5 9

Step-by-step solution

We have, aligned (2 ⁻¹ 5 3 ) &= ⁻¹ (2 ( 5 3 )²-1 ) &= ⁻¹ ( 10 9 -1 ) &= ( ⁻¹ 1 9 ) aligned aligned &= ⁻¹ 1- ( 1 9 )² &= ⁻¹ ( 4 5 9 ) = 4 5 9 aligned

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