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)]=
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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)
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:-sinα=-2cosα
得:tanα=2
原式=(-sinα-cosα)/(5sinα+3cosα) 分子分母同除cosα
=(-tanα-1)/(5tanα+3) 把tanα=2代入
=(-2-1)/(10+3)
=-3/13
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