Question

please tell this answer fast as i want to know it

Answer 1

Hello Friend,

First you need to know the value of tan 30°

→ tan 30° = 1/√3

So, now,

[2 tan 30°]÷[1 - tan² 30°]
= [ 2×1/√3 ] ÷ [ 1 - (1/√3)² ]
= [ 2/√3 ] ÷ [ 1 - ⅓ ]
= [ 2/√3 ] ÷ [ ⅔]
= 3/√3
= √3

Thus, the answer is √3.

[If you know some Trigonometric Identities, then there's a shortcut :

tan 2A = (2 tan A) / (1 - tan²A)

So, ( 2 tan 30° ) / (1 - tan²30°)
= tan (2×30°)
= tan (60°)
= √3

As you see, this is a shorter method]


Hope it helps.

Purva
@Purvaparmar1405
Brainly.in

Answer 2

[2 tan 30°]÷[1 - tan² 30°]
= [ 2×1/√3 ] ÷ [ 1 - (1/√3)² ]                              ....................(as tan 30=1/√30)
= [ 2/√3 ] ÷ [ 1 -1/3 ]
= [ 2/√3 ] ÷ [1/3]
= 3/√3
= √3