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OSNOVNE TRIGONOMETRIJSKE FORMULE
sin²+cos²=1
tgα=sinα/cosα
ctgα=cosα/sinα
tgα×ctgα=1
sinα=a/b
cosα=b/c
tgα=a/b
ctgα=b/a
sin(α+β)=sinα x cosβ+cosα x sinβ
sin(α-β)=sinα x cosβ-cosα x sinβ
cos(α+β)=cosα x cosβ-sinα x sinβ
cos(α-β)= cosα x cosβ+sinα x sinβ
tg(α+β)=(tgα+tgβ)/(1-tgα x tgβ)
tg(α-β)=(tgα-tgβ)/ (1+tgα x tgβ)
sin2α=2sinα×cosα
cos2α=cos²α-sin²α
tg2α=2tgα/1-tg²α
ctg2α=ctg²α-1/2ctgα
|sinα/2|=√(1−cosα/2)
|cosα/2|=√(1+cosα)/2
|tgα/2|=√(1+cosα)/(1-cosα)
|ctgα/2|=√(1-cosα)/(1+cosα)
sinα×sinβ=1/2(cos(α-β)-cos(α+β))
cosα×cosβ=1/2(cos(α+β)+cos(α-β))
sinα×cosβ=1/2(sin(α+β)+sin(α-β))
sinα+sinβ=2sin (α+β)/2 × cos (α-β)/2
sinα-sinβ= 2sin (α-β)/2 × cos (α+β)/2 × cos (α-β)/2
cosα+cosβ=2cos (α+β)/2 × cos (α-β)/2
cosα-cosβ=-2sin (α+β)/2 × sin (α-β)/2
π/2+α
sin (π/2+α) = cosα
cos (π/2+α) = -sinα
tg (π/2+α) = -ctgα
ctg (π/2+α) = -tgα
π/2-α
sin(π/2-α)=cosα
cos(π/2-α)=sinα
tg(π/2-α)=ctgα
ctg(π/2-α)=tgα
2π+α
sin(2π+α)=sinα
cos(2π+α)=cosα
tg(2π+α)=tgα
ctg(2π+α)=ctgα
2π-α
sin(2π-α)=-sinα
cos(2π-α)=cosα
tg(2π-α)=-tgα
ctg(2π-α)=-ctgα
π+α
sin (π+α) = -sinα
cos (π+α) = -cosα
tg (π+α) = tgα
ctg (π+α) = ctgα
π-α
sin (π-α) = sinα
cos (π-α) = -cosα
tg (π-α) = -tgα
ctg (π-α) = -ctgα
3π/2 + α
sin(3π/2+α)=cosα
cos(3π/2+α)=sinα
tg(3π/2+α)=-ctgα
ctg(3π/2+α)=-tgα
3π/2 -α
sin (3π/2 -α) = -cosα
cos (3π/2 -α) = -sinα
tg (3π/2 -α) = ctgα
ctg (3π/2 -α) = tgα