求函数z=sinx+siny+sin(x+y)(0

求函数z=sinx+siny+sin(x+y)(0 m=(sinx)/sin(y-z),n=(siny)/sin（z－x）,p=（sinz）/sin（x－y）,求mn+np+pm. 已知x,y,z属于(0,派/2),sin^2x+sin^2y+sin^2z=1,求(sinx+siny+sinz)/(cosx+cosy+cosz)的最大值 证明sin(x+y)sin(x-y)=sinx-siny 1.已知8cos(2x+y)+5cosy=0,求tan(x+y)*tanx的值.2.已知关于x的方程x^2+px+q=0的两根是tanx,tany,求sin(x+y)/cos(x-y)的值.3.化简:sin(x-y)/(sinx*siny)+sin(y-z)/(siny*sinz)+sin(z-x)/(sinz*sinx). 三角不等式证明证明sin(x+y)+sin(y+z)+sin(z+x)>sinx+siny+sinz+sin(x+y+z) 己知sinx+siny=1/3,求z=siny—cos^2 x的最大值. 己知sinx+siny=1/3,求z=siny—cos^2 x的最大值. 求下列导数：sin(x+y)=sinx+siny e^x+x=e^y+y 证明sinx+siny+sinz-sin(x+y+z)=4sin((x+y)/2)sin((x+y)/2)sin((x+y)/2) arcsin(sinx+siny)+arc(sinx-siny)=kπ/2,K为奇数,求sin^2x+sin^2y的值 求推导sinx-siny=2cos（(x+y)/2)sin((x-y)/2) sinx+siny=-1/3 cosx+cosy=1/2,求sin(x+y)的值. 证明sinx+cos(x+y)siny/cosx-sin(x+y)siny=tan(x+y) 为什么sinx*cosy-cosx*siny=sin(x-y) 存在sin( x -y) = sinX-sinY吗 将sinx+siny+sinz-sin(x+y+z)化为积的形式 已知(sinx)2-(siny)2=m求sin(x y)sin(x-y)求sin(x+y)sin(x-y)