已知cos(π/2+α )=2sin(α -π/2) 求sin^3(π-α )+cos(α -π)/5cos(5π/2-α )+3sin(7π/2-α )
来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/26 17:28:58
已知cos(π/2+α)=2sin(α-π/2)求sin^3(π-α)+cos(α-π)/5cos(5π/2-α)+3sin(7π/2-α)已知cos(π/2+α)=2sin(α-π/2)求sin^3
已知cos(π/2+α )=2sin(α -π/2) 求sin^3(π-α )+cos(α -π)/5cos(5π/2-α )+3sin(7π/2-α )
已知cos(π/2+α )=2sin(α -π/2) 求sin^3(π-α )+cos(α -π)/5cos(5π/2-α )+3sin(7π/2-α )
已知cos(π/2+α )=2sin(α -π/2) 求sin^3(π-α )+cos(α -π)/5cos(5π/2-α )+3sin(7π/2-α )
cos(π/2+α )=2sin(α -π/2)
即
-sina=-2cosa
tana=2
sin^3(π-α )+cos(α -π)/5cos(5π/2-α )+3sin(7π/2-α )
=(sin^3a-cosa)/(5sina-3cosa) (上下同除cosa)
=(sin^2a*tana-1)/(5tana-3)
=(2sin^2a-1)/7
=1/7*(sin^2a-cos^2a)/(sin^2a+cos^2a) (上下同除cos^2a)
=1/7*(tan^2a-1)/(tan^2a+1)
=3/35
已知sin(3π-α)=-2sin(π/2+α)则sinαcosα
已知sinα-cosα=1/2,且π
已知(sinα-cosα)/(sinα+cosα)=2,则sinα+2cosα=?
已知sinα-2cosα=10求(sinα-4cosα)/(5sinα+2cosα)
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sinα+cosα/sinα-cosα=2,求3sinα+cosα/2sinα+3cosα的值
sinα*cosα= 怎么化简全题,已知sinα+cosα/sinα-cosα=2,则sinαcosα的值是?
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
已知sin(7π-α)-3cos(π-α)=2,则(sin(π-α)+cos(π+α))/(sinα+cos(-α))的值是
已知α∈(π,2π) sinα+cosα=1/5 求sinα*cosα sinα-cosα
已知tan(3π+α)=2,求:1、(sinα+cosα)²;2、sinα-cosα/2sinα+cosα
已知tan(π-α)=2,求sin²α-2sinαcosα-cos²α/4cos²α-3sin²α+1
已知tan(π-α)=2,求sinα-2sinαcosα-cosα/4cosα-3sinα的值