Question

LHS = tan 60° RHS= 2 tan 30°/ 1-tan² 30°​

Answer 1

Answer:

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°

_______________________

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 proved

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