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viktoriaviktoriaua
@viktoriaviktoriaua
July 2022
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kirichekov
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1. sin28°/sin152°=sin28°/sin(180°-28°)=sin28°/sin28°=1
2. cos49°/cos131°=cos49°/cos(180°-131°)=cos49°/(-cos49°)=-1
3. tg12°/tg168°=tg(180°-168°)/tg°168°=-tg168°/tg168°=-1
21. прямоугольный треугольник. α+β+90°=180°
α+β=90°
sn²α+sin²β+sin90°=?
sinβ=sin(90°-α)=cosα
sin²α+cos²α+1=1+1=2
ответ:
sin²α+sin²β+sin90°=2
2sin120°+4cos150°-2tg135°=2sin(90°+30°)+4cos(90°+60°)-2tg(90°+45°)=2cos30°-4sin60°-2ctg45°=2*(√3/2)-4*(√3/2)-2*1=
-√3-2
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Answers & Comments
Verified answer
1. sin28°/sin152°=sin28°/sin(180°-28°)=sin28°/sin28°=12. cos49°/cos131°=cos49°/cos(180°-131°)=cos49°/(-cos49°)=-1
3. tg12°/tg168°=tg(180°-168°)/tg°168°=-tg168°/tg168°=-1
21. прямоугольный треугольник. α+β+90°=180°
α+β=90°
sn²α+sin²β+sin90°=?
sinβ=sin(90°-α)=cosα
sin²α+cos²α+1=1+1=2
ответ:sin²α+sin²β+sin90°=2
2sin120°+4cos150°-2tg135°=2sin(90°+30°)+4cos(90°+60°)-2tg(90°+45°)=2cos30°-4sin60°-2ctg45°=2*(√3/2)-4*(√3/2)-2*1=-√3-2