MHT CET202120 Sep 2021Evening ShiftMathematicsInverse Trigonometric FunctionsActual
⁻¹ ( 4 5 )+ ⁻¹ ( 12 13 )=
Options
- A⁻¹ ( 24 25 )
- B⁻¹ ( 33 65 )
- C⁻¹ ( 5 13 )
- D⁻¹ ( 3 5 )
Correct answer
B. ⁻¹ ( 33 65 )
Step-by-step solution
aligned & ⁻¹ ( 4 5 )+ ⁻¹ ( 12 13 ) & = ⁻¹ ( 3 4 )+ ⁻¹ ( 5 12 ) & = ⁻¹ [ ( 3 4 )+ ( 5 12 ) 1- ( 3 12 ) ( 5 12 ) ] & = ⁻¹ ( 36+20 48-15 )= ⁻¹ ( 56 13 )= ⁻¹ ( 33 65 ) aligned