JEE Main2013MathematicsTrigonometric EquationsActual
The number of solutions of the equation, ⁻¹ x=2 ⁻¹ x (in principal values) is :
Options
- A1
- B4
- C2
- D3
Correct answer
A. 1
Step-by-step solution
Given equation is ⁻¹ x=2 ⁻¹ x Now, this equation has only one solution. aligned & LHS = ⁻¹ 1= 2 & and RHS =2 ⁻¹ 1=2 4 = 2 aligned Also, x=1 gives angle value as 4 and 5 4 5 4 is outside the principal value.