NDA2024MathematicsInverse Trigonometric FunctionsActual
What is ⁻¹ ( a b )- ⁻¹ ( a-b a+b ) equal to?
Options
- A- 4
- B4
- C⁻¹ ( a^2-b^2 a^2+b^2 )
- D⁻¹ ( 2 a b a^2+b^2 )
Correct answer
B. 4
Step-by-step solution
aligned & ⁻¹ ( a b )- ⁻¹ ( a-b a+b ) &= ⁻¹ ( a b )- ⁻¹ ( a b -1 1+ a b 1 ) &= ⁻¹ a b - ⁻¹ a b + ⁻¹ 1 &= ⁻¹= ⁻¹ 45^ &=45^ = 4 . aligned