The general solution of tan θ = tan \(\propto\) is
θ = nπ + \(\propto\), n ∈ Z
Now, cot θ = 0
∴ tan θ does not exist
∴ tanθ = tan\(\cfrac{\pi}{2}\)[∵ tan\(\cfrac{\pi}{2}\) does not exist]
∴ the required general solution is
θ = nπ + \(\cfrac{\pi}{2}\), n ∈ Z.