SOLUTION: sin((x)+60)-cos((x)+30)

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Question 401634: sin((x)+60)-cos((x)+30)
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
+sin%28x%2B60%29-cos%28x%2B30%29
Use FORMULAS sin%28a%2Bb%29=sina%2Acosb%2Bcosa%2Asinb
_____________cos%28a%2Bb%29=cosa%2Acosb-sina%2Asinb
sin%28x%2B60%29=sinx%2Acos60%2Bcosx%2Asin60
sin60=sqrt%283%29%2F2, cos60=1%2F2
sinx%2Acos60%2Bcosx%2Asin60=%281%2F2%29sinx%2B%28sqrt%283%29%2F2%29cosx
.
cos%28x%2B30%29=cosx%2Acos30-sinx%2Asin30
cos30=sqrt%283%29%2F2, sin60=1%2F2
cosx%2Acos30-sinx%2Asin30=%28sqrt%283%29%2F2%29cosx-%281%2F2%29sinx
.