a) (1+sinx)(1/cosx-tgx)=cosx b)(1/sinx-1/cosx)(sinx+cosx)=ctgx-tgx

aleksandra121212

a) ( 1 + sinx ) ( 1/cosx - tgx ) = 1/cosx -tgx + sinx/cosx -sinxtgx =1/cosx -sinx/cosx +sinx/cosx -sinx*sinx/cosx =(1-sin2x)/cosx=cos2x/cosx=cosx b) ( 1/sinx - 1/cosx ) ( sinx + cosx )=sinx/sinx+cosx/sinx-sinx/cosx-cosx/cosx=1+ctgx-tgx-1=ctgx-tgx

kkiinniiaa

a) (1+sinx)(1/cosx-tgx)=cosx L=(1+sinx)(1/cosx-tgx)= (1+sinx)(1/cosx-sinx/cosx)= (1+sinx)(1-sinx)/cosx= (1-sin²x)/cosx= cos²x/cosx=cosx=P b)(1/sinx-1/cosx)(sinx+cosx)=ctgx-tgx L=(1/sinx-1/cosx)(sinx+cosx)= 1+cosx/sinx-sinx/cosx-1=cosx/sinx-sinx/cosx=ctgx-tgx=P

madonna1996

a) ( 1 + sinx ) ( 1/cosx - tgx ) = 1/cosx -tgx + sinx/cosx - sinxtgx = 1/cosx -sinx/cosx +sinx/cosx -sinx*sinx/cosx = (1-sin2x)/cosx= cos2x/cosx =cosx Odp.Wynik to cosx . b) ( 1/sinx - 1/cosx ) ( sinx + cosx ) =sinx/sinx+cosx/sinx-sinx/cosx-cosx/cosx =1+ctgx-tgx-1 =ctgx-tgx Odp. Wynik to ctgx-tgx .