Question

The value of 2tan30°\1-tan^(2) 30°

Answer 1

Step-by-step explanation:

tan2A = 2tanA/(1-tan^2A)

if A =30°

=> tan60°= 2tan30°/(1-tan^2 30°)= ✓3 is the required answer.

Answer 2

Step-by-step explanation:

= 2 tan30 / 1 - tan^2 30                         ⇒ tan 30 = 1 / √3

= 2 * 1 / √3 / 1 - [1 / √3]^2

= 2 / √3 / 1 - 1 / 3 -- LCM of 1 and 3

= 2 / √3 / 3 - 1 / 3

= 2 /√3 / 2/ 3

= 2/ √3 = 2/ 3

= √3

= tan 60                                    ∵ tan60 = √3