KCET2011MathematicsInverse Trigonometric Functions
If ⁻¹ x= 4 - ⁻¹ ( 1 3 ) , then x is
Options
- A1 3
- B1 2
- C1 4
- D1 6
Correct answer
B. 1 2
Step-by-step solution
Given equation ⁻¹ x= 4 - ⁻¹ ( 1 3 ) aligned & ⁻¹ x= ⁻¹(1)- ⁻¹ ( 1 3 ) & . ⁻¹ x= ⁻¹ ( 1- 3 1+ 1 3 ) ⁻¹(1) ) & [ ⁻¹ x- ⁻¹ y= ⁻¹ ( x-y 1+x y ) ] & ⁻¹ x= ⁻¹ ( 2 / 3 4 / 3 ) & x=1 / 2 aligned