NDA2014MathematicsInverse Trigonometric FunctionsActual
If x and y are positive and x y 1 , then what is ⁻¹ x+ ⁻¹ y equal to?
Options
- A⁻¹ ( x+y 1-x y )
- B+ ⁻¹ ( x+y 1-x y )
- C- ⁻¹ ( x+y 1-x y )
- D⁻¹ ( x-y 1+x y )
Correct answer
B. + ⁻¹ ( x+y 1-x y )
Step-by-step solution
⁻¹ x+ ⁻¹ y= ⁻¹(x+y) 1-x y But x y 1 ⁻¹ x+ ⁻¹ y= + ⁻¹ (x+y) 1-x y .