sin(2x+y)=3siny,x≠kπ+π/2,x+y≠kπ+π/2(k∈Z)求证：tan(x+y)=2tanx

tan(x+y)=2tanx(x,x+y≠kπ+π/2,k∈Z),证3siny=sin(2x+y)答对有奖! arcsin(sinx+siny)+arc(sinx-siny)=kπ/2,K为奇数,求sin^2x+sin^2y的值 sin(2x+y)=3siny,x≠kπ+π/2,x+y≠kπ+π/2(k∈Z)求证：tan(x+y)=2tanx 已知sin(2x+y)=5siny,(y不等于K派),求证;3tan=2tan(x+y) siny=1/3,sin(x＋y)=1,求sin(2x＋y) 证明sin(x+y)sin(x-y)=sinx-siny 已知：3sinY=sin(2X+Y),求证tan(X+Y)=2tanX 已知5siny=sin(2x+y),求证:tan(x+y)=3/2tanx 证明sinx+cos(x+y)siny/cosx-sin(x+y)siny=tan(x+y) 一道三角函数题,若sin(x-y)cosy+cos(x-y)siny≥1,则x,y的取值范围分别是?（答案是x=2kπ+2分之π,k属于z,y属于R 求微分方程y'+sin[(x+y)/2]=sin[(x-y)/2]通解答案为当siny/2≠0时，通解为㏑|tany/4|=C-2sinx/2当siny/2=0时，特解y=2kπ 证明sin(x+y)sin(x-y)=（sinx）^2-(siny）^2. 证明cosx-cos(x+2y)/2siny= sin(x+y)证明cosX-cos(x+2y)/2siny= sin(x+y) sinx-siny=1/3,cosx-cosy=2/3,sin(x+y)=? cosx-cosy=1/2,sinx-siny=1/3,sin(x+y)=RT sinx+siny=-1/3 cosx+cosy=1/2,求sin(x+y)的值. 已知x-y=派/3,且sin x-siny=1/2,求cos(x+y). 求证：sin(2x+y)/sinx-2cos(x+y)=siny/sinx(2)已知5siny=sin(2x+y),求证:tan(x+y)=3/2 tanx