In the triangle ABC, the opposite sides of angles a, B and C are a, B and C respectively. We know that a = 2, C = 3 and CoSb = 1 / 4

In the triangle ABC, the opposite sides of angles a, B and C are a, B and C respectively. We know that a = 2, C = 3 and CoSb = 1 / 4

(1) Finding the value of B
Using the cosine theorem, we get
b^2=a^2+c^2-2*a*c*CosB
Put it into the calculation
b=√10
(2) Find the value of sinc
Derived from CoSb
SINB=√1-(1/4)^2=√15/4
Sine theorem
b/sinB=c/sinC
Put it into the calculation
sinC=(3√6 )/8