SOLUTION: Use a compound angle formula to demonstrate that sin(2π-x) = -sin(x).

Question 1205299: Use a compound angle formula to demonstrate that sin(2π-x) = -sin(x).
Answer by ikleyn(52903) (Show Source): You can put this solution on YOUR website!
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Use a compound angle formula to demonstrate that sin(2π-x) = -sin(x).
~~~~~~~~~~~~~~~~~

Use the general formula for the sine function with the difference of arguments 


    sin(a-b) = sin(a)*cos(b) - cos(a)*sin(b).



Take a = , b = .  You will get


     =  -  = 0*cos(x) - 1*sin(x) = 0 - sin(x) = -sin(x).

QED

Solved.

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