NDA2018MathematicsInverse Trigonometric FunctionsActual
What is ⁻¹ ( 1 4 )+ ⁻¹ ( 3 5 ) equal to?
Options
- A0
- B4
- C3
- D2
Correct answer
B. 4
Step-by-step solution
⁻¹ ( 1 4 )+ ⁻¹ ( 3 5 ) We know, ⁻¹ x+ ⁻¹ y= ⁻¹ ( x+y 1-x y ) So, ⁻¹ ( 1 4 )+ ⁻¹ ( 3 5 )= ⁻¹ ( 1 4 + 3 5 1- ( 1 4 ) ( 3 5 ) ) aligned & = ⁻¹ ( 5+12 20 1- 3 20 ) & = ⁻¹ ( 17 20 17 20 )= ⁻¹(1)= 4 aligned