sin(2π/3+α)=-cosα怎么证明的是3π/2 搞错了

3sinα=2cosα,则 cosα-sinα/cosα+sinα/ cos3sinα=2cosα,则cosα-sinα/cosα+sinα/cosα+sinα/cosα-sinα cos^2(π/4+α)=(cos(π/4)cosα-sin(π/4)sinα)² cos^2(π/4+α)是怎么等于(cos(π/4)cosα-sin(π/4)sinα)²的? sinα*cosα= 怎么化简全题,已知sinα+cosα/sinα-cosα=2,则sinαcosα的值是? sinα=-2cosα,求sin^2α-3sinαcosα+1 已知sin(3π-α)=-2sin(π/2+α)则sinαcosα 设角a=-35π/6,则2sin(π+α)cos(π-α)-cos(π+α)/ 1+sin^2α+sin(π-α)-cos^2(π+α)sina=sin(-35π/6)=sin(-6π+π/6)=1/2 cosα=根号3/22sin(π＋α)cos(π-α)-cos(π+α)/ [1+sin^2α+sin(π-α)-cos^2(π+α)]=2（-sinα)(-cosα）+cosα/[1+sin² sin^6а+cos^6а+3sin²аcos²а化简=(sin^2α+cos^2α)(sin^4α-sin^2α*cos^2α+cos^4α)+3sin^2α*cos^2α这一步的sin四次方是怎么出来的?看不懂,求这一步的详写. 已知0＜α＜π/2,且3sinα=4cosα求(sin^2α+2sinαcosα)/(3cos^2α-1)求cos^2α+sinαcosα 已知3sinα=cosα,则sinα-2sinαcosα+3cosα+1= 已知sinα+3cosα=2,求（sinα-cosα）/(sinα+cosα)的值 已知sinα+3cosα=2,求（sinα-cosα）/(sinα+cosα)的值 已知6sin²α+sinαcosα-2cos²α=0,α∈（π/2,π）,求值1).(sinα-3cosα）/（sinα-cosα）；2）.sinαcosα-sin²α;3).sin²α-3cosαsinα-2 sinα+cosα/sinα-cosα =2 则2sin^2α-3sinαcosα-3cos^2α的值 已知sinα+cosα/sinα-cosα=2,求3sinα+cosα/2sinα+3cosα的值 已知sin(3π+α)=2cos(α-4π)求cos(π/2 -α)+5sin(π/2 +α)/2cos(π+α)-sin(-α) 【三角函数】已知sin(α-π)=2cos(2π-α),求[sin(π-α）+5cos（2π-α)]/[3cos(π-α）-sin（-α)] 已知sin(7π-α)-3cos(3π/2+α)=2,则(sin(π-α)+cos(π+α))/(sinα+cos(-α))的值是 已知sin(7π-α)-3cos(π-α)=2,则(sin(π-α)+cos(π+α))/(sinα+cos(-α))的值是