According to sine theorem:
sinC=√3sinAsinC-sinCcosA
1 =√3 sine curve
1/2=(√3/2) Sina -( 1/2)cosA
1/2=sin(A-π/6)
A-π/6=π/6
A=π/3
(2)
a=2,
According to cosine theorem:
2^2=b^2+c^2-2bc*cos(π/3)
4=b^2+c^2-bc
( 1/2)bc*sin(π/3)=√3
( 1/2)bc(√3/2)=√3
bc=4.......................①
4=(b+c)^2-3bc
4=(b+c)^2- 12
(b+c)^2= 16
b+c=4..................②
From ① ②: B and C are equations.
Two x 2-4x+4 = 0
(x-2)^2=0
b=c=2