BITSAT2024MathematicsInverse Trigonometric FunctionsActual
If ⁻¹ ( 1 2 )= ( ⁻¹ x ) , then the value of x is
Options
- A1 6
- B-1 12
- C2 6
- D-2 6
Correct answer
A. 1 6
Step-by-step solution
We have ( ⁻¹ ( 1 2 ) )= ( ⁻¹ x ) Let ⁻¹ ( 1 2 )= = 1 2 ⁻¹ 1 5 ( ⁻¹ 1 5 )= ( ⁻¹ x 1-x^2 ) 1 5 = x 1-x^2 1-x^2 = 5 x On squaring both sides, we get, 1-x^2=5 x^2 1=6 x^2 x= 1 6 array ll & x= 1 6 [neglecting - ve sign] array