sin x(sin x+cos x)=1求x等于多少
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/15 12:02:21
x)+SxLk'x66U<_dW%nhTOb;~EClgs:+l2lfڀ9@ͅsu6H$ Q.B-P~w2X驰=ߠo}h GQ@[>\ U
.0[bcPhB.D
0P]
zzzi늗+ntOh`*[[`38]wyYgËPcLPY~6eۋۑd @
sin x(sin x+cos x)=1求x等于多少
sin x(sin x+cos x)=1求x等于多少
sin x(sin x+cos x)=1求x等于多少
仅考虑实数,有x=pi/2
sinx(sinx+cosx)=1
sin²x+sinxcosx=1
sinxcosx=1-sin²x=cos²x
当cosx=0时,x=π/2+kπ (k∈Z)
当cosx≠0时,sinx=cosx,sinx-cosx=0,√2sin(x-π/4)=0,sin(x-π/4)=0,
...
全部展开
sinx(sinx+cosx)=1
sin²x+sinxcosx=1
sinxcosx=1-sin²x=cos²x
当cosx=0时,x=π/2+kπ (k∈Z)
当cosx≠0时,sinx=cosx,sinx-cosx=0,√2sin(x-π/4)=0,sin(x-π/4)=0,
x-π/4=kπ,x=π/4+kπ (k∈Z)
综上所述,x=π/2+kπ或π/4+kπ,(k∈Z)
收起
sin(sin(sin(sin(x)=cos(cos(cos(cos(x),X等于多少?
cos x/sin x+sin x/(1+cos x) 化简.
cos x /sin x=
(1+cos x-sin x)/(1-sin x-cos x)+(1-cos x-sin x)/(1-sin x+cos x)=?
sin x(sin x+cos x)=1求x等于多少
f(x)=sin x +cos x +sin x * cos x ,求值域
求证(cos^2 x-sin^2 x)(cos^4 x+sin^4 x)+1/4 sin 2x sin 4x=cos 2x
怎么证明2(1-sin x)(1+cos x)=(1-sin x+cos x)^2
y=(sin(x)-1)/(cos(x)+(cos(x))/(sin(x)+1)的奇偶性
化简(sin x+cos x-1)(sin x-cos x+1)/sin 2x
已知tan=2,求(cos x+sin x)/(cos x-sin x)+sin^2x
已知tanx=根号下2 求:1)(sin x+cos x)/(cos x -sin x)的值.2)2sin^2 x-sin x cos x+cos^2 x 的值
参数方程x=cos(sin+cos)y=sin(cos+sin)化为普通方程
已知cos x/(sin x-1)=1/2,则(1+sin x)/cos x等于?
求证(cos^2x-sin^2x)(cos^4x+sin^4x)+1/4sin2xsin4x=cos2x
证明一个sin&cos的等式证明 1+sin^2(x)+sin^4(x)+sin^6(x)=[1-sin^8(x)]/[cos^2(x)]
为什么cos(sin(tan x)))=1
sin(pi/2+x)=?如题哈:(1)sin(pi/2+x)=cos(x) ------> (2)cos(pi/2+x)=-sin(x) ---------->