Question

if tan A =root3 find tan 2A​

Answer 1

Given:

tan A = √3

tan 2A = ?

Solution:

tan A = √3          [given]

=> tan A = tan 60°

=> A = 60°

[Note: tan will not get cancelled. Instead, if tan A = tan 60°, then A is 60°]

Therefore, tan 2A = tan 120° = [ - √3 ]