Question

tan 60=2tan30/1-tan^2 30

Answer 1

Hey !!!

1st method

tan60 ° = tan (30 ° + 30 ° )

Hence, tan2*30°

We know a formula /rule

that tan2A = 2 tanA/1 - tan²A

just put the value of 30° instead of A

then , we got

tan60° = 2tan30° /1 - tan²30°

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Second method ...

from LHS

tan60° = √3

let us see from RHs

2 tan30° / 1 - tan²30° [just put the value ]

2×1/√3
--------------
1 - (1/√3)²

= 2/√3
-------------
3 - 1 /3

= 2/√3
-------------
2 /3

= √3 LHS

hence , LHS = RHS prooved

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Hope it helps you !!

@Rajukumar111

Answer 2

Step-by-step explanation:

Tan 60 = 2 tan 30 /1 - tan2 30