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Manipal MET2015MathematicsInverse Trigonometric Functions

If ( ⁻¹ x )= ( ⁻¹ 1 5 ) , then x is equal to

Options

  1. A3 5
  2. B5 3
  3. C3 5
  4. DNone of these

Correct answer

A. 3 5

Step-by-step solution

We have, array rlrl & & ( ⁻¹ x ) & = ( ⁻¹ 1 5 ) & & ^2 ( ⁻¹ x )-1 = 1- ^2 ( ⁻¹ 1 5 ) & & x^2-1 = 1- 1 5 & & x^2-1= 4 5 array array ll & x^2= 9 5 & x= 3 5 array

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