MHT CET20244 May 2024Morning ShiftMathematicsInverse Trigonometric FunctionsActual
The value of ( cosec ⁻¹ 5 3 + ⁻¹ 2 3 ) is
Options
- A5 17
- B6 17
- C3 17
- D4 17
Correct answer
B. 6 17
Step-by-step solution
aligned & ( cosec ⁻¹ 5 3 + ⁻¹ 2 3 ) & = ( ⁻¹ 3 5 + ⁻¹ 2 3 ) & = ( ⁻¹ 3 5 1- ( 3 5 )^2 + ⁻¹ 2 3 ) & = ( ⁻¹ 3 4 + ⁻¹ 2 3 ) & = [ ⁻¹ ( 3 4 + 2 3 1- 3 4 2 3 ) ] aligned aligned & = [ ⁻¹ ( 17 6 ) ] & = [ ⁻¹ ( 6 17 ) ]= 6 17 aligned