cos²x为什么等于(cos2x +1 )

cos²x为什么等于(cos2x +1 )
cos²x为什么等于(cos2x +1 )

cos²x为什么等于(cos2x +1 )
sin^2 x +cos^2 x =1 得到 sin^2 x= 1- cos^2 x
cos^2 x - sin^2 x =cos2x
将上式代入可得 cos^2 x -( 1- cos^2 x)=cos2x
cos^2 x -1+cos^2 x = cos2x
2cos^2 x -1=cos2x
2cos^2x =cos2x+1