AP EAMCET2016MathematicsInverse Trigonometric Functions

If x= (2 ⁻¹ 2 ) and y= ( 1 2 ⁻¹ 4 3 ) ,then

Options

Ax>y
Bx=y
Cx=0=y
Dx < y

Correct answer

A. x>y

Step-by-step solution

We have, x= (2 ⁻¹ 2 ) and y= ( 1 2 ⁻¹ 4 3 ) x= (2 ⁻¹ 2 ) Let ⁻¹ 2- =2 x= 2 = 2 1+ ^2 = 2(2) 1+(2)^2 = 4 5 Now, y= ( 1 2 ⁻¹ 4 3 ) Let ⁻¹ 4 3 = = 4 3 , = 1 1+ ^2 = 3 5 Then, y= ( 2 ) aligned & = 1- 2 = 1- 3 5 2 = 1 5 & x>y aligned

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