Question

If tan Alpha equal to root three And tan beta equals to one by root three Then find The value of cot alpha plus beta

Answer 1

Given :

• tan α = √ 3

• tan β = 1 / √3

tan α = √3

=> tan α = tan 60°

=> α = 60°

tan β = 1 / √3

=> tan β = tan 30°

=> β = 30°

Now , cot ( α + β )

= cot ( 60° + 30° )

= cot 90°

= 0

Therefore the value of cot ( α + β ) is 0.