tan3x等于3tanx吗

向蚀苗2608tan3x还可以化简成什么 -
齐健怜19746297733 ______

向蚀苗2608tan(3x)/tanx当x趋向丌/2时等于多少要详细步骤 -
齐健怜19746297733 ______[答案] 解析: 做此题的依据:tan(а+в)=(tanа+tanв)/(1-tanаtanв) tan(3x)=(tanx+tan(2x))/(1-tanxtan(2x))…………(1) 其中,tan(2x)=2tanx/(1-(tanx)^2),代入(1)中化简后 可得 tan(3x) =(tanx+tan(2x))/(1-tanxtan(2x)) =[ tanx+2tanx/(1-(tanx)^2)] / {1-tanx [ 2tanx/(1-...

向蚀苗2608高中数学三角解答求解:TAN3X * TANX=1 X=?要详细的过程原理答案是:派/8 -
齐健怜19746297733 ______[答案] TAN3X * TANX=1 => sin3x*sinx/cos3x*cosx=1 => sin3x*sinx=cos3x*cosx => cos3x*cosx-sin3x*sinx=0 => cos(3x+x)=0 => 4x=π/2 => x=π/8

向蚀苗2608用洛必达法则当x - >派/2时,tanx/tan3x等于多少?我怎么算都得1啊!一楼你的明显是错的,用洛必达法则 -
齐健怜19746297733 ______[答案] lim(x->π/2)(tanx/tan3x)=lim(x->π/2)(ctan3x/ctanx) =lim(x->π/2)(ctan'3x/ctan'x) =lim(x->π/2)((-1/sin^2(3x)*3/(-1/sin^2(x)) =3sin^2(π/2)/sin^2(3π/2) =3

向蚀苗2608求值:已知tanx=1/2,求tan3x的值? -
齐健怜19746297733 ______[答案] tan(3α) = (3tanα-tan^3α)/(1-3tan^2α)

向蚀苗2608求证tan3x - tan2x - tanx=tanx*tan2x*tan3x -
齐健怜19746297733 ______[答案] 证明:tan3x=tan(2x+x)=(tan2x+tanx)/(1-tan2x*tanx) tan3x(1-tan2x*tanx)=tan2x+tanx tan3x-tan3x*tan2x*tanx=tan2x+tanx tan3x-tan2x-tanx=tan3x*tan2x*tanx

向蚀苗2608已知f(tanx)=tan3x分之一减cos3x,求f( - 1) -
齐健怜19746297733 ______[答案] tan3x=tan(x+2x)=(tanx+tan2x)/(1-tanxtan2x)=[tanx+2tanx/(1-(tanx)^2)]/[1-2tanx^2/(1-(tanx)^2)]=[tanx-(tanx)^3+2tanx]/[1-3(tanx)^2]cos3x=cos(x+2x)=cosxsin2x+sinxcos2x=2sinx(cosx)^2+sinx(1-2(sinx)^2=2sin...

向蚀苗2608tan x/2=3.tanx= -
齐健怜19746297733 ______[答案] 设x/2=t 则x=2t tant=3 tan(2t)=2tant/(1-tan^2t)=6/(-8)=-3/4

向蚀苗2608tanx=3 tan 2分之x是多少 -
齐健怜19746297733 ______[答案] tanx=tan(2*x/2)=(tan x/2+tan x/2)/(1-tan x/2*tan x/2)=6/(1-9)=-3/4

向蚀苗2608化简tanxtan2x/tan2x - tanx,所得结果是 -
齐健怜19746297733 ______[答案] tanxtan2x/tan2x-tanx=2tan^2x/1-tan^2x/2tanx-tanx(1-tan^2x)/1-tan^2=2tan^2x/2tanx-tanx(1-tan^2x)=2tan^2x/tanx+tan^3x=2tanx/1+tan^2x=(2sinx/cosx)/(1/cos^2x)=2sinx/cosx*cos^2x=2sinxcosx=sin2x