Question

Sin(pi x)=1/2

Answer 1

To solve for x:
The sin function equals 1/2 when x equal pi/6 + 2(pi)k or when x equals 5pi/6 +2(pi)k where k is any integer therefore,

pi x = pi/6 + 2(pi)n
or
pi x = 5pi/6 + 2(pi)n

Divide each side by pi and your answer is x = 1/6 + 2k and 5/6 + 2k