Write the value of tan^–1(√3 ) – cot^–1(–√3 ).[CBSE 2018]

To Find: tan^–1(√3 ) – cot^–1(–√3 )

Formula Used: Principal value for tan θ is (0, π) and for cot θ is π

Now, 


and,


As the value for cot does not lie in principal interval, we will use the formula,

cot^-1 (-θ) = π - θ

Therefore, 

 
Thus, 



Hence,