SOLUTION: if sec(A)=3 find all possible values of Sin(A)

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Question 887753: if sec(A)=3 find all possible values of Sin(A)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Sec A = 3 ==> cos A = 1/3 ==> 1%2F9+%2B+%28sin+A%29%5E2+=+1
==>%28sin+A%29%5E2++=+8%2F9
==> sin+A+=+%282sqrt%282%29%29%2F3 or -%282sqrt%282%29%29%2F3+