Question

Solve for A. tan A + tan 2 A + √3 tan A tan 2 A = √3​

Answer 1

Answer:

A = 20°

Step-by-step explanation:

tan A + tan 2 A + √3 tan A tan 2 A = √3​

tan A + tan 2 A  = √3​

TanA + Tan2A/(1 - TanATan2A) = √3​

Tan(A+2A) = √3​  (∵ Tan(A+B) = TanA + TanB / 1 - TanATanB)

Tan3A = Tan60.

3A = 60

A = 20°