SOLUTION: Solve the equation. Give a general formula for all the solutions. List six solutions sin theta = 1/2

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Question 1024262: Solve the equation. Give a general formula for all the solutions. List six solutions
sin theta = 1/2
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Take the inverse sin (or arcsin) of both sides
sin%28theta%29+=+1%2F2
asin%28sin%28theta%29%29+=+asin%281%2F2%29
theta+=+pi%2F6 (that's 30 degrees)
But theta also equals
theta+=+5pi%2F6
Then you can add any number of 2 pi to either result...so the complete solution is
theta = pi/6 + 2kpi
theta = 5pi/6 + 2kpi
k being an integer...