(cos^2 2x-sin^2 2x)/(1-tan2x)=(1+2sin2xcos2x)/(1+tan2x)
来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/25 03:56:41
(cos^22x-sin^22x)/(1-tan2x)=(1+2sin2xcos2x)/(1+tan2x)(cos^22x-sin^22x)/(1-tan2x)=(1+2sin2xcos2x)/(1+
(cos^2 2x-sin^2 2x)/(1-tan2x)=(1+2sin2xcos2x)/(1+tan2x)
(cos^2 2x-sin^2 2x)/(1-tan2x)=(1+2sin2xcos2x)/(1+tan2x)
(cos^2 2x-sin^2 2x)/(1-tan2x)=(1+2sin2xcos2x)/(1+tan2x)
(1+2sin2xcos2x)/(cos²2x-sin²2x)
= (sin²2x+cos²2x+2sin2xcos2x)/(cos²2x-sin²2x)
= (sin2x+cos2x)²/[(cos2x+sin2x)(cos2x-sin2x)]
= (sin2x+cos2x)/(cos2x-sin2x)
= (1+tan2x)/(1-tan2x)【分子分母同除cos2x】
移项得:(cos^2 2x-sin^2 2x)/(1-tan2x)=(1+2sin2xcos2x)/(1+tan2x)
前面分子用平方差公式打开,分母化成用正余弦表示。后面的1用sin^22x+cos^22x表示,平方和,分母用正余弦表示 约分就出来了。
已知tan=2,求(cos x+sin x)/(cos x-sin x)+sin^2x
化简(sin x+cos x-1)(sin x-cos x+1)/sin 2x
2cos x (sin x -cos x)+1
y=2cos x (sin x+cos x)
化简sin(x)cos(x)cos(2x)
化简sin(x)cos(x)cos(2x)
sin x cos x cos 2x 化简
(sin^2x+cos^2x )(sin^2x-cos^2x)怎么得sin^2x-cos^2x?
化简 cos^2(x)*sin^2(x)-sin^2(x)
化简 cos^(2)(x)*sin^(2)(x)-sin^(2)(x)
已知sin(x)+3cos(x)=2,求sin(x)-cos(x)/sin(x)+cos(x)=?
化简sin^4x-sin^2x+cos^2x
化简:sin^4 x-sin^2 x+cos^2 x
sin(x/2)cos(x/2)=
化简sin^4x+cos^2x
sin[cos^2(x^3+x)],求导
y=(sin x + COS x)^2
化简(sin^2x-cos^4x+cos^2x-sin^4x)/(sin^2x-cos^6x+cos^2x-sin^6x)