Question

since = 1/2 , cosB = 1/2 , then the value of a+B is ​

Answer 1

Answer:

sin(A+B) = sinAcosB + cosAsinB

= (1/2)*(1/2) + (1/2)*(1/2)

= 1/4 + 1/4

= 1/2

sin(A+B) = 1/2= sinπ/6

hence

A+B = π/6 = 30°

General solution is

A + B = nπ + (-1)^n π/6

where n = 1,2,3,....