MHT CET202312 May 2023Morning ShiftMathematicsInverse Trigonometric FunctionsActual

The value of ( ⁻¹ x ) is

Options

A1 1+x^2
B1+x^2
C1 x 1+x^2
Dx 1+x^2

Correct answer

A. 1 1+x^2

Step-by-step solution

array ll & ( ⁻¹ x ) & Let ⁻¹ x= t & x= t & 1+ ^2 t =1+x^2 & cosec ^2 t =1+x^2 & cosec t = 1+x^2 & t = 1 1+x^2 & t = ⁻¹ ( 1 1+x^2 ) & ( ⁻¹ x )= ( ⁻¹ ( 1 1+x^2 ) ) & = 1 1+x^2 array

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