Trigonometrik asosiy formulalar

FORMULALAR Triganametrik ayniyatlar. sin2α+cos2α=1 tgα∙ctgα=1 1+tg2α= 1+ctg2α= tgα= ctgα= 2. Trigonometrik funksiyalarni birinchisini ikkinchisi orqali ifodalash. 1) a)sinα=±√1-cos2α 2) a)cosα =±√1-sin2α b)sinα= ± b)cosα =± c)sinα= c)cosα=± 3) a)tgα=± 4) a)ctgα= ± b)tgα= ± b)ctgα=± c)tgα= c)ctgα= 3. Trigonometrik funksiyalarni yig'indisi va ayirmasi. 1) sin(α+β)=sinαcos β + cosαsin β 2) sin(α-β)=sinαcos β - cosαsin β 3) cos(α+β)=cosαcos β - sinαsin β 4) cos(α-β)= cosαcos β + sinαsin β 5) tg(α+β)= 6) tg(α-β)= 7) ctg(α+β)= 8) ctg(α-β)= 1) a)sinα= 2sin cos 2) cosα=cos2-sin a) cosα=1-2sin2 b) sin2α=2sinαcosα cosα=2cos2 -1 cosα=cos2α-sin2α b) cosα=1-2 sin2α cosα=2cos2α 3) tg2α= 4) ctg2α= 5. Yarim burchak. 1) sin =± 2) cos =± 3)tg ==± 4) ctg ==± 6. Darajani pasaytirish formulasi. 1) sin2α= 2) cos2 α= 3) sin6 α+cos6 α=+cos4α 7. Trigonometrik funksiyani ko'paytmadan yig'indiga aylantirish. 1) sin α∙cos α= [ sin(α+β)+ sin(α-β)] 2) cos α∙cosβ= [ cos(α+β)-cos(α-β)] 3) sinα∙sinβ= [ cos(α-β)-cos(α+β)] 8. Triganametrik funksiyani yig'indidan ko'paytmaga aylantirish. 1 ) sin α+sinβ=2sincos 2) sin α-sinβ=2sincos 3) cos α+cosβ=-2coscos 4) cos α-cosβ=-2sinsin 5) tg α+ctgβ= 6) tg α-ctgβ= 7) ctg α+ctgβ= 9. Keltirish formulalari. 1) a) sin(+α)=cos α 2) a) cos(+α)=sin α b) sin (-α)= cos α b) cos(-α)=-sin α c) sin(+α)=-cos α c) cos(+α)=sin α d) sin (-α)= -cos α d) cos(-α)=-sin α e) sin(π+ α)=-sin α e) cos(π+ α)=-cos α f) sin (π- α)=-sin α f) cos(π- α)=-cos α ...