If tan ⁡ k + 1 θ = tan ⁡ θ , then the set of all the values of θ is

Question

If tan ⁡ k + 1 θ = tan ⁡ θ , then the set of all the values of θ is, { n π : n ∈ I }, n π 2 : n ∈ I, n π k : n ∈ I, n π 4 : n ∈ I

MARKS App · Accepted Answer

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

Search any question & find its solution

Looking for more such questions to practice?