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aliceperfect1
@aliceperfect1
July 2022
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решить тригонометрические уравнения:
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aylmaorty
Б) cos3x+cos5x=0
2cos 3x+5x/2 * cos 3x-5x/2 = 2cos4xcosx
2cos4xcosx=0
2cos4x=0
x=pi/8+pin n Z
cosx=0
x=pi/2 +pin n Z
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NNNLLL54
У вас ошибка: сos4x=0 --> 4x=pi /2+pi n --> x=pi /8+pi n/4 (!)
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Answers & Comments
2cos 3x+5x/2 * cos 3x-5x/2 = 2cos4xcosx
2cos4xcosx=0
2cos4x=0
x=pi/8+pin n Z
cosx=0
x=pi/2 +pin n Z