Question

prove that 2tan30° \ 1+tan^2 30° =sin 60°​

Answer 1

Answer:

Firstly taking the LHS:2 tan 30/1 +tan^2 30

Next putting the value of tan 30 i.e √3

2√3/ 1+ (√3)^2

2√3/1+ 3. { Since, [√3]^2 =3}

2√3 /4

√3/2. (SINCE √3/2 = sin 60)  

Sin60  

Since LHS=RHS,

HENCE PROVED