NDA2012MathematicsInverse Trigonometric FunctionsActual
What is the value of ⁻¹ 4 5 + ⁻¹ 12 13 ?
Options
- A63/65
- B33/65
- C22/65
- D11/65
Correct answer
B. 33/65
Step-by-step solution
aligned & Put ⁻¹ 4 5 = A & ~A = 4 5 & ~A = 3 5 & ⁻¹ 12 13 = B & ~B = 12 13 & ~B = 5 13 . & Now, & ( ⁻¹ 4 5 + ⁻¹ 12 13 ) & = ( A + B ) & = A ~B - A ~B & = ( 4 5 ) ( 12 13 )- ( 3 5 ) ( 5 13 ) & = 48 65 - 15 65 = 33 65 . aligned