How do you verify $sin(2pi-theta)=-sintheta$ ?

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Answer 1 · 2018-03-08T18:34:44

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Use the Property: $sin(x-y)=sinxcosy-cosxsiny$

$LHS: sin(2pi-theta)$

$=sin2picostheta-cos2pisintheta$

$=0*costheta-1*sintheta$

$=0-sin theta$

$=-sintheta$

$=RHS$

How do you verify sin(2pi-theta)=-sinthetasin(2pi-theta)=-sintheta?