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asinxbcosx0 asin2xbsinxcosxccos2x0

. . ????? ?? ???????? ?????????????????? ????????? ???????????? ????, ???????? ????? ????????????? ?? ????????.. ???????????. ????????? ???? asinx bcosx=0 ???????? ?????????? ?????????????????? ?????????? ?????? ???????????????? ???? asin2x bsinxcosx ccos2x=0 ???????? ?????????? ?????????????????? ?????????? ?????? ???????.

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asinxbcosx0 asin2xbsinxcosxccos2x0

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    1. ?????????? ?????????????????? ?????????

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    3. ??????????? ????????? ???? asinx+bcosx=0 ???????? ?????????? ?????????????????? ?????????? ?????? ??????? ????????? ???? asin2x+bsinxcosx+ccos2x=0 ???????? ?????????? ?????????????????? ?????????? ?????? ???????

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    8. ??????? ?1. ?????? ????????? 2sinx-3cosx=0 ???????. ???????? ??? ????? ????????? ???????? ?? cosx, ??????? 2tgx-3=0 tgx=3/2 x=arctg3/2 + pn, n € Z ?????: x=arctg3/2 + pn, n € Z

    9. ?2. ?????? ????????? sin2x+cos2x=0 ???????. ???????? ??? ????? ????????? ???????? ?? cos2x, ??????? tg2x+1=0, tg2x=-1 2x=-p/4+ pn, n € Z x=- p/8+ pn/2, n € Z ?????: x=- p/8+ pn/2, n € Z

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    12. ???????? ??????? ?????????? ?????????????????? ????????? ?????? ??????? ??????????, ???? ?? ? ????????? ???? asin2x; ???? ???? ???? ??????????, ?? ???? ??0, ?? ????????? ???????? ???????? ????? ??? ?????? ?? cos2x ? ??????????? ????????? ????? ?????????? z=tgx; ???? ???? ???? ??????????, ?? ???? ?=0, ?? ????????? ???????? ??????? ?????????? ?? ?????????: ?? ?????? ??????? cosx;

    14. ??????? ?1. ?????? ????????? sin2x-3sinxcosx+2cos2x=0. ???????. sin2x-3sinxcosx+2cos2x=0 \ ÷ cos2x tg2x-3tgx+2=0 ?????? ????? ?????????? z=tgx z2-3z+2=0 z1=1, z2=2 tgx=1 tgx=2 x= p/4+ pn, n € Z x=arctg2 + pn, n € Z

    15. ?2. ?????? ????????? v3sinxcosx+cos2x=0. ???????. cosx(v3sinx+cosx)=0 cosx=0 ??? v3sinx+cosx=0 \ ÷ cosx?0 x= p/2+ pn, n € Z v3tgx+1=0 tgx=-1/ v3 x=arctg(-1/ v3) + pn, n € Z x=- p/6+ pn, n € Z

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