Question

Prove that: sin 60 = 2tan 30 ÷ 1 + tan²30 = /3÷2

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Answer 1

Step-by-step explanation:

so 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