NDA2022MathematicsInverse Trigonometric FunctionsActual
If ⁻¹ ( 1 2 )+ ⁻¹ ( x 3 )= 4 , where 0 x 6 , then what is x equal to?
Options
- A1
- B2
- C3
- D5
Correct answer
A. 1
Step-by-step solution
aligned & ⁻¹ ( 1 2 )+ ⁻¹ ( x 3 )= 4 & ⁻¹ ( x 3 )= ⁻¹ 1- ⁻¹ ( 1 2 ) & ⁻¹ x 3 = ⁻¹ ( 1- 1 2 1+ 1 2 ) & ⁻¹ x 3 = ⁻¹ ( 1 3 ) & x 3 = 1 3 x=1 aligned