Question

It t=tan 15°,show that t²+2(3t)^1/2-1=0

Answer 1

Step-by-step explanation:

t²+2√(3t) - 1=0

Your question is bit wrong , it will be like this : t²+2t√(3) - 1=0

We know that :

Cot(A/2) - Tan(A/2) = 2CotA

So :

Cot(30°/2) - Tan(30°/2) = 2CotA

Cot(30°/2) - 2Cot30° = Tan(30°/2)

Tan(30°/2) = 1/[Tan(30°/2)] - 2√3

t² = 1 - (2√3)t

t²+2t√(3)-1=0