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Sonkadg56ghh22
@Sonkadg56ghh22
July 2022
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Помогите плиз с алгеброй!1!
cos(3x+п/4)=1/2
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potapov19461
Verified answer
Простейшее уравнение такого вида решается по формуле
3х + pi/4 = +-arccos(1/2) + 2pi*n, n - целое число.
3х+pi/4 = pi/3 + 2pi*n или 3x+pi/4 = -pi/3 + 2pi*n
3x=pi/12+2pi*n или 3х= -7pi/12 +2pi*n
x=pi/36 +2/3 *pi*n или х= -7pi/36 +2/3*pi*n. n∈Z.
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Answers & Comments
Verified answer
Простейшее уравнение такого вида решается по формуле3х + pi/4 = +-arccos(1/2) + 2pi*n, n - целое число.
3х+pi/4 = pi/3 + 2pi*n или 3x+pi/4 = -pi/3 + 2pi*n
3x=pi/12+2pi*n или 3х= -7pi/12 +2pi*n
x=pi/36 +2/3 *pi*n или х= -7pi/36 +2/3*pi*n. n∈Z.