Component: main
$sin1=sin\u2061x$$ddxsin2=cos\u2061x$$k2_oPi=2.0\pi k2Pi=2.0\u2062\pi kPi_2=\pi 2.0kPi=\pi kPi_32=3.0\u2062\pi 2.0z=x\u2062k2_oPi-0.5ifx<kPi_2\pi -x\u2062k2_oPi-0.5ifx<kPix-\pi \u2062k2_oPi-0.5ifx<kPi_32k2Pi-x\u2062k2_oPi-0.5otherwisesin3=-z\u2062z+C+zifx<kPi_2-z\u2062z+C+zifx<kPiz\u2062z-C-zifx<kPi_32z\u2062z-C-zotherwise$