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f1naL
@f1naL
August 2021
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Решите, посмотрю как решать хоть)
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4)) по т.косинусов...
(2V3)^2 = 4^2 + 2^2 - 2*2*4*cosB
cosB = (16+4-12) / 16 = 8/16 = 1/2
угол В = 60 градусов
5)) по т.синусов...
2V2 / sin(135) = 2 / sinB
sinB = 2*sin(135) / (2V2) = sin(135) / V2
sin(135) = sin(180-45) = sin(45) = V2 / 2
sinB = (V2 / 2) / V2 = 1/2
угол В = 30 градусов
угол А = 180-135-30 = 15 градусов
6)) по т.синусов...
V2 / sinC = V3 / sin(60)
sin(60) = V3 / 2
sinC = V2*sin(60) / V3 = V2*V3 / (2*V3) = V2 / 2
угол С = 45 градусов
угол В = 180-60-45 = 75 градусов
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Answers & Comments
Verified answer
4)) по т.косинусов...(2V3)^2 = 4^2 + 2^2 - 2*2*4*cosB
cosB = (16+4-12) / 16 = 8/16 = 1/2
угол В = 60 градусов
5)) по т.синусов...
2V2 / sin(135) = 2 / sinB
sinB = 2*sin(135) / (2V2) = sin(135) / V2
sin(135) = sin(180-45) = sin(45) = V2 / 2
sinB = (V2 / 2) / V2 = 1/2
угол В = 30 градусов
угол А = 180-135-30 = 15 градусов
6)) по т.синусов...
V2 / sinC = V3 / sin(60)
sin(60) = V3 / 2
sinC = V2*sin(60) / V3 = V2*V3 / (2*V3) = V2 / 2
угол С = 45 градусов
угол В = 180-60-45 = 75 градусов