(1+cos x-sin x)/(1-sin x-cos x)+(1-cos x-sin x)/(1-sin x+cos
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/22 19:01:23
(1+cos x-sin x)/(1-sin x-cos x)+(1-cos x-sin x)/(1-sin x+cos x)=?
原式=((1+cosx-sinx)^2+(1-cosx-sinx)^2)/((1-sinx-cosx)(1-sinx+cosx))
=(1+sin^2(x)+cos^2(x)-2sinx+2cosx-2sinxcosx+1+sin^2(x)+cos^2(x)-2sinx-2cosx+2sinxcosx)/((1-sinx)^2-cos^2(x))
=(4-4sinx)/(2sinx(sinx-1))
当x=2kπ+π/2(k为整数)时,原式无意义
当x≠2kπ+π/2(k为整数)时,原式=-2/sinx
=(1+sin^2(x)+cos^2(x)-2sinx+2cosx-2sinxcosx+1+sin^2(x)+cos^2(x)-2sinx-2cosx+2sinxcosx)/((1-sinx)^2-cos^2(x))
=(4-4sinx)/(2sinx(sinx-1))
当x=2kπ+π/2(k为整数)时,原式无意义
当x≠2kπ+π/2(k为整数)时,原式=-2/sinx
sin(1/x)-cos(1/x)/x
2cos x (sin x -cos x)+1
化简 1/2cos x-根号3/2sin x 根3sin x+cos x
化简[1-(sin^4x-sin^2cos^2x+cos^4x)/(sin^2)]+3sin^2x
sin(sin(sin(sin(x)=cos(cos(cos(cos(x),X等于多少?
求证(cos^2 x-sin^2 x)(cos^4 x+sin^4 x)+1/4 sin 2x sin 4x=cos 2
∫(1-sin/x+cos)dx不定积分
lim(sin(x^2*cos(1/x)))/x怎么做?
求证:(sin x+cos x−1)(sin x−cos x+1)sin&nbs
(1-(sin^4x-sin^2xcos^2x+cos^4x)/sin^2x +3sin^2x
证明(1-2sin x cos x )/(cos^2x-sin^2x)=(1-tan x)/(1+tan x)
证明 (tan xsin x)/(tan x-sin x)-(1+cos x)/sin x