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vasily001
@vasily001
July 2022
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Упростить выражения по формулам приведения:
А) cos (2pi/7) cos (5pi/42) + sin (2pi/7) sin (5pi/42) =
Б) sin 123° cos33° - cos123° sin33° =
В) 10sin (pi/12) * cos(pi/12) =
Г) (1 - 2cos² a) / (sin a - cos a) =
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Answers & Comments
arianmarol
A)=cos(2pi/7-5pi/42)=cos(7pi/42)=cos(pi/6)=
√3/2
b)=sin(123°
-33°)=sin90
°
=1
c)=5sin(pi/6)=2,5
d)=cos2a/(sina-cosa)=(cos²a-sin²a)/(sina-cosa)=(cosa-sina)*(cosa+sina)/(sina-cosa)=-(cosa+sina)
3 votes
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Answers & Comments
b)=sin(123°-33°)=sin90°=1
c)=5sin(pi/6)=2,5
d)=cos2a/(sina-cosa)=(cos²a-sin²a)/(sina-cosa)=(cosa-sina)*(cosa+sina)/(sina-cosa)=-(cosa+sina)