SOLUTION: If {{{ sin(x) + cos(x) = 1/2 }}}, compute {{{ sin(x)cos(x) }}} . (You may work on both sides.)

Question 1082320: If , compute . (You may work on both sides.)
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52814) (Show Source): You can put this solution on YOUR website!
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Square both sides of your equation. You will get = , = , = , 2*sin(x)*cos(x) = , sin(x)*cos(x) =

Answer. sin(x)*cos(x) = .

Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

Square both sides of the equation Use FOIL on the left The two middle terms are like terms, so they combine: Swap the 2nd and 3rd term on the left Recall the Pythagorean identity Clear the fraction by multiplying through by 4 Subtract 4 from both sides Divide both sides by 8 Edwin

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