Ответ:
Пошаговое объяснение:
1)sin48°cos12°+cos48sin12=sin(48+12)=
=sin60°=кор3/3
(cos15+sin15)^2=cos^2 15+sin^2 15 +
+2sin15cos15=1+2sin30=1+1=2
cos^2t-cos2t=cos^2t-2cos^2t+1=
=1-cos^2t=sin^2t
sin140/2cos70=2sin70cos70/2cos70=
=sin70°
sin28+sin16=2sin22cos6°
cosn/15-cosn/30=cos12°-cos6°=
=-2sin9°sin3°
4) cos^2x=1-sin^2x=1-9/25=16/25
cosx=4/5 siny=- 4/5
sin(x+y)=sinxcosy+cosxsiny=
=3/5(-3/5)+4/5(-4/5)=-9/25-16/26= -1
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Ответ:
Пошаговое объяснение:
1)sin48°cos12°+cos48sin12=sin(48+12)=
=sin60°=кор3/3
(cos15+sin15)^2=cos^2 15+sin^2 15 +
+2sin15cos15=1+2sin30=1+1=2
cos^2t-cos2t=cos^2t-2cos^2t+1=
=1-cos^2t=sin^2t
sin140/2cos70=2sin70cos70/2cos70=
=sin70°
sin28+sin16=2sin22cos6°
cosn/15-cosn/30=cos12°-cos6°=
=-2sin9°sin3°
4) cos^2x=1-sin^2x=1-9/25=16/25
cosx=4/5 siny=- 4/5
sin(x+y)=sinxcosy+cosxsiny=
=3/5(-3/5)+4/5(-4/5)=-9/25-16/26= -1