1)2cos 2x = 1
2) 2 sin x/2 - 1 = 0

Question

Математика

Kail

6 год назад

1)2cos 2x = 1
2) 2 sin x/2 - 1 = 0

ОТВЕТЫ

Bazhichap

Aug 9, 2019

1. 2cosx=1
cos2x=1/2
2x=+-arccos(1/2)+2πn, n∈Z
2x=+-π/3+2πn, n∈x | :2
x=+-π/6+πn, n∈Z

2. 2sin(x/2)-1=0
2sin(x/2)=1
sin(x/2)=1/2
$\frac{x}{2} =(-1) ^{n}*arcsin \frac{1}{2}+ \pi n,$ n∈Z

$\frac{x}{2} = (-1)^{n} * \frac{ \pi }{6} + \pi n,$ n∈Z |*2

$x= (-1)^{n} * \frac{ \pi }{3}+2 \pi n,$ n∈Z

68

1)2cos 2x = 1 2) 2 sin x/2 - 1 = 0

1)2cos 2x = 1
2) 2 sin x/2 - 1 = 0