COMEDK2018MathematicsInverse Trigonometric Functions
⁻¹ [x 1-x - x 1-x² ]=
Options
- A⁻¹ x- ⁻¹ 1-x²
- B⁻¹ x+ ⁻¹ 1-x
- C⁻¹ x- ¹ x
- D⁻¹ x+ ⁻¹ x
Correct answer
C. ⁻¹ x- ¹ x
Step-by-step solution
Let, y= ⁻¹ [x 1-x - x 1-x² ] aligned &= ⁻¹ [x 1-( x )² - x 1-x² ] &= ⁻¹ x- ⁻¹ x aligned [ Using ⁻¹ x- ⁻¹ y= ⁻¹ [x 1-y² -y 1-x² ] .