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COMEDK2015MathematicsInverse Trigonometric Functions

( ⁻¹ ( 1 5 2 )- ⁻¹ ( 4 17 ) ) is equal to

Options

  1. A29 3
  2. B29 3
  3. C3 29
  4. D3 29

Correct answer

D. 3 29

Step-by-step solution

( ⁻¹ ( 1 5 2 )- ⁻¹ ( 4 17 ) )= ( 2 - ⁻¹ ( 1 5 2 )- ⁻¹ ( 4 17 ) ) [ ⁻¹ x= 2 - ⁻¹ x ]= ( 2 - ( ⁻¹ 4 17 + ⁻¹ 1 5 2 ) )= ( 2 - ⁻¹ ( 4 17 1- 1 5 + 2 - ⁻¹ x ] .= ( 2 - ⁻¹ ( 4 17 1 5 2 + 1 5 2 1 17 ) ) .= ( ⁻¹ 29 5 2 17 ) ) .= ( ⁻¹ 3 29 )= 3 29 )

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