Manipal MET2024MathematicsInverse Trigonometric Functions

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

Options

Ax=1-y
Bx^2=1-y
Cx^2=1+y
Dy^2=1-x

Correct answer

D. y^2=1-x

Step-by-step solution

we have (x= (2 ⁻¹ 2 ) ), ( aligned & x= (2 ), ⁻¹ 2= & x= 2 1+ ^2 , =2 & x= 4 5 aligned ) Also, (y= ( 1 2 ⁻¹ ( 4 3 ) ) ) ( array ll & y= ( ), 1 2 ⁻¹ ( 4 3 )= & y= ( ), (2 )= 4 3 & y= ( ), ( )= 1 2 & y= 1 5 array ) Hence, (y^2= 1 5 =1- 4 5 =1-x )

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