NDA2019MathematicsInverse Trigonometric FunctionsActual
If ⁻¹ 2 p 1+p^2 - ⁻¹ 1-q^2 1+q^2 = ⁻¹ 2 x 1-x^2 , then what is x equal to ?
Options
- Ap+q 1+p q
- Bp-q 1+p q
- Cp q 1+p q
- Dp+q 1-p q
Correct answer
B. p-q 1+p q
Step-by-step solution
⁻¹ 2 p 1+p^2 - ⁻¹ 1-q^2 1+q^2 = ⁻¹ 2 x 1-x^2 aligned & 2 ⁻¹ p -2 ⁻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 aligned