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Негізгі тригонометриялық тепе-теңдік
sin2α+cos2α=1\sin^2\alpha+\cos^2\alpha=1sin2α+cos2α=1
cos2α−sin2α=1\cos^2\alpha-\sin^2\alpha=1cos2α−sin2α=1
sin2α=1−cos2α2\sin^2\alpha=\frac{1-\cos2\alpha}{2}sin2α=21−cos2α
cos2α=1+cos2α2\cos^2\alpha=\frac{1+\cos2\alpha}{2}cos2α=21+cos2α
tgα=?tg\alpha=?tgα=?
cosαsinα\frac{\cos\alpha}{\sin\alpha}sinαcosα
tgα⋅ctgαtg\alpha\cdot\operatorname{ctg}\alphatgα⋅ctgα
sinαcosα\frac{\sin\alpha}{\cos\alpha}cosαsinα
1cos2α\frac{1}{\cos^2\alpha}cos2α1
ctgα=?\operatorname{ctg}\alpha=?ctgα=?
1+tg2α=?1+tg^2\alpha=?1+tg2α=?
1sin2α\frac{1}{\sin^2\alpha}sin2α1
Дұрыс қосу формулаларын таңдаңыз
sin(α+β)=sinαcosβ+cosαsinβ\sin\left(\alpha+\beta\right)=\sin\alpha\cos\beta+\cos\alpha\sin\betasin(α+β)=sinαcosβ+cosαsinβ
sin(α−β)=sinαcosβ−cosαsinβ\sin\left(\alpha-\beta\right)=\sin\alpha\cos\beta-\cos\alpha\sin\betasin(α−β)=sinαcosβ−cosαsinβ
sin(α+β)=sinαsinβ+cosαcosβ\sin\left(\alpha+\beta\right)=\sin\alpha\sin\beta+\cos\alpha\cos\betasin(α+β)=sinαsinβ+cosαcosβ
sin(α−β)=cosαsinβ−sinαcosβ\sin\left(\alpha-\beta\right)=\cos\alpha\sin\beta-\sin\alpha\cos\betasin(α−β)=cosαsinβ−sinαcosβ
cos(α+β)=sinαcosβ−cosαsinβ\cos\left(\alpha+\beta\right)=\sin\alpha\cos\beta-\cos\alpha\sin\betacos(α+β)=sinαcosβ−cosαsinβ
cos(α−β)=cosαcosβ+sinαsinβ\cos\left(\alpha-\beta\right)=\cos\alpha\cos\beta+\sin\alpha\sin\betacos(α−β)=cosαcosβ+sinαsinβ
cos(α+β)=sinαsinβ−cosαcosβ\cos\left(\alpha+\beta\right)=\sin\alpha\sin\beta-\cos\alpha\cos\betacos(α+β)=sinαsinβ−cosαcosβ
cos(α+β)=cosαcosβ−sinαsinβ\cos\left(\alpha+\beta\right)=\cos\alpha\cos\beta-\sin\alpha\sin\betacos(α+β)=cosαcosβ−sinαsinβ
tg(α+β)=?tg\left(\alpha+\beta\right)=?tg(α+β)=?
tgα−tgβ1+tgα⋅tgβ\frac{tg\alpha-tg\beta}{1+tg\alpha\cdot tg\beta}1+tgα⋅tgβtgα−tgβ
ctgα⋅ctgβ−1ctgα+ctgβ\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta-1}{\operatorname{ctg}\alpha+\operatorname{ctg}\beta}ctgα+ctgβctgα⋅ctgβ−1
tgα+tgβ1−tgα⋅tgβ\frac{tg\alpha+tg\beta}{1-tg\alpha\cdot tg\beta}1−tgα⋅tgβtgα+tgβ
ctgα⋅ctgβ+1ctgβ−ctgα\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta+1}{\operatorname{ctg}\beta-\operatorname{ctg}\alpha}ctgβ−ctgαctgα⋅ctgβ+1
tg(α−β)=?tg\left(\alpha-\beta\right)=?tg(α−β)=?
ctg(α−β)=?\operatorname{ctg}\left(\alpha-\beta\right)=?ctg(α−β)=?
ctg(α+β)=?\operatorname{ctg}\left(\alpha+\beta\right)=?ctg(α+β)=?
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