Formule matematice

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Transcript of Formule matematice

Formule trigonometrice

sinα=ac=a/c. a, b – catete

cos α=bc=b/c. c - ipotenuză

tanα=ab=a/b.

cotα=ba=b/a.

tanα= sin αcos α

=sinα /cosα.

cotα= cos αsinα

=cosα / sinα.

tanα cotα=1=tgα∗ctgα.

sin( π2 ±α)=cos α=sin (π /2±α ).

cos ( π2 ±α)=∓sin α=cos (π /2±α ).

tan( π2 ±α)=∓cot α=tg(π /2±α).

cot ( π2 ±α )=∓ tanα=ctg(π /2±α ).

sin2α+cos2α=1=sinα∗sinα+cosα∗cosα.

sin (α ± β )=sin α cos β ±cos α sin β.

cos (α ± β )=cosα cos β± sin βcos α.

tan (α ± β )= tanα ± tan β1∓ tanα tan β

=(tgα ± tgβ )/(1∓ tgα∗tgβ ).

cot (α ±β )= cotα cot β∓1cot β± cot α

=(ctgα∗ctgβ∓1)/(ctgβ ±ctgα).

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