SOLUTION: If sin(x) + cos(x) = 2/3, then find the value of sin(2x).

SOLUTION: If sin(x) + cos(x) = 2/3, then find the value of sin(2x).

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Question 544717: If sin(x) + cos(x) = 2/3,
then find the value of sin(2x).
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Square both sides of the first equation, the result is

, use the Pythagorean Identity , the result is
, use the double angle formula , the result is

Therefore
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