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Trewqa
@Trewqa
September 2021
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РЕБЯТ, ПОМОГИТЕ
2-4cos^2(19град) / 5sin(128град)
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kirichekov
Verified answer
Числитель: 2-4cos²19°=-2(2cos²19°-1)=
[формула косинус двойного аргумента: 2cos²α-1=cos2α] =-2cos(2*19°)=-2cos38°
знаменатель: 5sin128°=5sin(90°+38°)=5cos38°
дробь: -2cos38°/(5cos38°)=-2/5=
-0,4
19 votes
Thanks 39
Trewqa
Объясните, пожалуйста, с числителем переход со 2 в 3
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Answers & Comments
Verified answer
Числитель: 2-4cos²19°=-2(2cos²19°-1)=[формула косинус двойного аргумента: 2cos²α-1=cos2α] =-2cos(2*19°)=-2cos38°
знаменатель: 5sin128°=5sin(90°+38°)=5cos38°
дробь: -2cos38°/(5cos38°)=-2/5=-0,4