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Question		Answer
sin(α+β)= start learning		sinα • cosβ + sinβ • cosα
sin(α-β)= start learning		sinα • cosβ - sinβ • cosα
cos(α+β)= start learning		cosα • cosβ - sinα • sinβ
cos(α-β)= start learning		cosα • cosβ + sinα • sinβ
tg(α+β)= start learning		tgα + tgβ / 1 - tgα • tgβ
tg(α-β)= start learning		tgα - tgβ / 1 + tgα • tgβ
ctg(α+β)= start learning		ctgα • ctgβ - 1 / ctgβ + ctgα
ctg(α-β)= start learning		ctgα • ctgβ + 1 / ctgβ - ctgα
sin 2α= start learning		2 • sinα • cosα
cos 2α= start learning		cos²α - sin²α
cos 2α= start learning		2cos²α - 1
cos 2α= start learning		1 - 2sin²α
cos²α - sin²α= start learning		2cos²α - 1
cos²α - sin²α= start learning		1 - 2sin²α
2cos²α - 1= start learning		1 - 2sin²α
tg 2α= start learning		2 tgα / 1 - tg²α
ctg 2α= start learning		ctg²α - 1 / 2 ctgα
sinα + sinβ= start learning		2 sin (α + β / 2) • cos (α - β / 2)
sinα - sinβ= start learning		2 sin (α - β / 2) • cos (α + β / 2)
cosα + cosβ= start learning		2 cos (α + β / 2) • cos (α - β / 2)
cosα - cosβ= start learning		- 2 sin (α + β / 2) • sin (α - β / 2)
tgα + tgβ= start learning		sin (α + β) / cosα • cosβ
tgα - tgβ= start learning		sin (α - β) / cosα • cosβ
ctgα + ctgβ= start learning		sin (β + α) / sinα • sinβ
ctgα - ctgβ= start learning		sin (β - α) / sinα • sinβ
sin α • cos β = start learning		sin(α+β) + sin(α-β) / 2
cos α • cos β = start learning		cos (α+β) + cos (α-β) / 2
sin α • sin β = start learning		cos (α-β) - cos (α+β) / 2

wzory trygonometryczne - fiszki

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