Question

"Question30
Using the formula, tan2A = 2 tan A / 1 - tan²A, find the value of tan 60° , it being given that tan 30° = 1 / √3 .
Chapter6,T-Ratios of particular angles Exercise -6 ,Page number 289"

Answer 1

aaaaaand the answer is = √3

Answer 2

Hey there!

Hey there !

Given Formula : tan2A = 2 tan A / 1 - tan²A
Also, tan30 = 1/√3
Required to find : tan60

Now,
Let A = 30 , 2A = 60°

tan2A = 2tanA / 1 - tan²A

tan60 = 2(tan30 ) / 1 - ( tan²30)

tan60 = 2(1/√3) / 1 -( 1/√3)²

tan60 = 2/√3 / 1 - 1/3

tan60 = 2/√3 / 2/3

tan60 = 2/√3 * 3/2

tan60 = √3

Therefore , tan60 = √3

Thanks for the question!