诱导公式29个sin(α+2kπ)=sinαcos(α+2kπ)=cosαtan(α+2kπ)=tanαsin(α+π)=-sinαcos(α+π)=-cosαtan(α+π)=tanαcot(α+π)=cotαsin(-α)=-sinαcos(-α)=cosαtan(-α)=-tanαcot(-α)=-cotαsin(π-α)=sinαcos(π-α)=-cosαcot(π-α)=-cotαtan(π-α)=-tanαsin(2π-α)=sinαcos(2π-α)=cosαsin(π/2-α)=cosαcos(π/2-α)=sinαtan(π/2-α)=cotαsin(π/2+α)=cosαcos(π/2+α)=-sinαtan(π/2+α)=-cotαsin(3π/2-α)=-cosαcos(3π/2-α)=-sinαtan(3π/2-α)=cotαsin(3π/2+α)=-cosαcos(3π/2+α)=sinαtan(3π/2+α)=-cotα两角和差公式6个cos(α+β)=cosαcosβ-sinαsinβcos(α-β)=cosαcosβ+sinαsinβsin(α+β)=sinαcosβ+cosαcosβsin(α-β)=sinαcosβ-sinαcosβtan(α+β)=(tanα+tanβ)/(1-tanαtanβ)tan(α-β)=(tanα-tanβ)/(1+tanαtanβ)倍角公式5个sin(2α)=2sinαcosαcos(2α)=cos^2α-sin^2α=2cos^2α-1=1-2sin^2αtan(2α)=2tanα/(1-tan^2α)半角公式5个sin^2(α/2)=(1-cosα)/2cos^2(α/2)=(1+cosα)/2tan^2(α/2)=(1-cosα)/(1+cosα)tan(α/2)=(1-cosα)/sinα=sinα/(1+cosα)万能公式2个sin(2α)=2tanα/(1+tan^2α)cos(2α)=(1-tan^2α)/(1+tan^2α)积化和差4个sinαcosβ=[sin(α+β)+sin(α-β)]/2cosαsinβ=[sin(α+β)-sin(α-β)]/2cosαcosβ=[cos(α+β)+cos(α-β)]/2sinαsinβ=-[cos(α+β)-cos(α-β)]/2和差化积4个sinα+sinβ=2sin[(α+β)/2]cos[(α-β)/2]sinα-sinβ=2cos[(α+β)/2]sin[(α-β)/2]cosα+cosβ=2cos[(α+β)/2]cos[(α-β)/2]cosα-cosβ=-2sin[(α+β)/2]sin[(α-β)/2]同角关系8个sin^2α+cos^2α=1sec^2α=1/cos^2α=tan^2α+1csc^2α=1/sin^2α=cot^2α+1tanα=sinα/cosαcotα=cosα/sinαtanαcotα=1sinαcscα=1cosαsecα=1为人民福服务!!
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