COMEDK2012MathematicsInverse Trigonometric Functions
If ⁻¹ ( 2 p 1+p² )- ⁻¹ ( 1-q² 1+q² )= ⁻¹ ( 2 x 1+x² ) , then the value of x is equal to
Options
- Ap+q 1+p q
- Bp-q 1-p q
- Cp-q p q-1
- Dp-q 1+p q
Correct answer
D. p-q 1+p q
Step-by-step solution
We have, array ll ⁻¹ ( 2 p 1+p² )- ⁻¹ ( 1-q² 1+q² ) & = ⁻¹ ( 2 x 1+x² ) & 2 ⁻¹ p-2 ⁻¹ q=2 ⁻¹ x & 2 ( ⁻¹ p- ⁻¹ q )=2 ⁻¹ x & ⁻¹ p- ⁻¹ q= ⁻¹ x & ⁻¹ ( p-q 1+p q )= ⁻¹ x & x= p-q 1+p q array