99 Percentile Qs Bank for JEE MainMathematicsInverse Trigonometric Functions
⁻¹ 2+ ⁻¹(-3)+ ⁻¹ 1 3 + ⁻¹ (- 1 2 )=
Options
- A- 3 2
- B2
- C- 2
- D3 2
Correct answer
D. 3 2
Step-by-step solution
aligned & ⁻¹ 2+ ⁻¹(-3)+ ⁻¹ ( 1 3 )+ ⁻¹ (- 1 2 ) & = ⁻¹(2)- ⁻¹ ( 1 2 )+ - ⁻¹(3)+ ⁻¹ ( 1 3 ) & = ⁻¹(2)- ⁻¹ ( 1 2 )+ - ⁻¹ ( 1 3 )+ ⁻¹(3) & = ⁻¹ ( 2- 1 2 1+2 1 2 )+ + ⁻¹(3)- ⁻¹ ( 1 3 ) & = ⁻¹ ( 3 2 )+ + ⁻¹ ( 3- 1 3 1+3 1 3 ) & = ⁻¹ ( 3 4 )+ + ⁻¹ ( 8 6 ) & = + ⁻¹ ( 3 4 )+ ⁻¹ ( 4 3 ) & = + ⁻¹ ( 3 4 )+ ⁻¹ ( 3 4 )= + / 2 & =3 / 2 aligned