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Manipal MET2016MathematicsInverse Trigonometric Functions

If 2 ⁻¹( x)= ⁻¹(2 cosec x) , then the value of x is

Options

  1. A3 4
  2. B4
  3. C3
  4. DNone of these

Correct answer

B. 4

Step-by-step solution

aligned & Given, 2 ⁻¹( x)= ⁻¹(2 cosec x) & ⁻¹ ( 2 x 1- ^2 x )= ⁻¹(2 cosec x) aligned aligned & 2 x 1- ^2 x =2 cosec x & x= x x= 4 aligned

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