Trigonometrijske formule

Trigonometrijske formule ,[object Object],4276725376555k∈Z00k∈Zsin2x+cos2x=1 tgx=sinxcosx; x≠π2+πk ctgx=cosxsinx; x≠πk tgx=1ctgx sin360ok+x=sinx cos360ok+x=cosx tg180ok+x=tgx ctg180ok+x=ctgx sin-x=-sinx cos-x=cosx tg-x=-tgx ctg-x=-ctgx ,[object Object],sinx±y=sinxcosy±cosxsiny cosx±y=cosxcosy∓sinxsiny tg(x±y)=tgx±tgy1∓tgxtgy ctgx±y=1∓tgxtgytgx±tgy ,[object Object],sin2x=2sinxcosx cos2x=cos2x-sin2x tg2x=2tgx1-tg2x ,[object Object],|sinx2|=1-cosx2 |cosx2|=1+cosx2 |tgx2|=1-cosx1+cosx ,[object Object],sin3x=3sinx-4sin3x cos3x=4cos3x-3cosx ,[object Object],sinxsiny=12(cosx-b-cosx+y) sinxcosy=12(sinx-b+sinx+y) cosxcosy=12(cosx-b+cosx+y) ,[object Object],sinx+siny=2sinx+y2cosx-y2 sinx-siny=2cosx+y2sinx-y2 cosx+cosy=2cosx+y2cosx-y2 cosx-cosy=-2sinx+y2sinx-y2 tgx±tgy=sin(x±y)cosxcosy ctgx±ctgy=sin(y±x)sinxsiny ,[object Object],561975721360sin60o=32cos60o=12tg60o=3ctg60o=33020000sin60o=32cos60o=12tg60o=3ctg60o=332019300721360sin30o=12cos30o=32tg30o=33ctg30o=3020000sin30o=12cos30o=32tg30o=33ctg30o=33476625721360sin45o=22cos45o=22tg45o=1ctg45o=1020000sin45o=22cos45o=22tg45o=1ctg45o=1 ,[object Object],xπ2-xπ2+xπ-xπ+x3π2-x3π2+x2π-x2π+xsinxcosxcosxsinx-sinx-cosx-cosx-sinxsinxcosxsinx-sinx-cosx-cosx-sinxsinxcosxcosxtgxctgx-ctgx-tgxtgxctgx-ctgx-tgxtgxctgxtgx-tgx-ctgxctgxtgx-tgx-ctgxctgx

Trigonometrijske formule

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Trigonometrijske formule