Решение графически.
ответ отрезок
( x + 7) /3 = ( 2x + 3) / 5
5( x + 7) = 3 ( 2x + 3)
5x + 35 = 6x + 9
5x - 6x = - 35 + 9
- x = - 26
x = 26
<span>а)
1+cos4x=cos2x
2cos</span>²2x=cos2x
cos2x(2cos2x-1)=0
cos2x=0
2x=π/2+πk
x=π/4+πk/2
cos2x=1/2
2x=±π/3+2πk
x=±π/6+πk
Ответ: x=π/4+πk/2, x=±π/6+πk; k∈Z
б)
4sin²x-4sinx+1=0
(2sinx-1)²=0
sinx=1/2
x=π/6+2πk, x=5π/6+2πk
Ответ: x=π/6+2πk, x=5π/6+2πk; k∈Z