NTA Abhyas JEE Main2020MathematicsTrigonometric EquationsPractice
If tan k + 1 θ = tan θ , then the set of all the values of θ is
Options
- An π   : n ∈ I
- Bn π 2 : n ∈ I
- Cn π k : n ∈ I
- Dn π 4 : n ∈ I
Correct answer
C. n π k : n ∈ I
Step-by-step solution
As we know the general solution of the equation tan x = tan α is given by x = n π + α , n ∈ I Hence the solution of the equation, tan k + 1 θ = tan θ is given by k + 1 θ = n π + θ ⇒ k θ = n π, n ∈ I ∴ θ ∈ n π k : n ∈ I