12m-3n=48
-3n=48-12m
n=4(4-n)
12m-48+12m=48
24m=96
m=4
n=0
2cos²x - sin2x + 4cos2x - sin2x = 0
<span>2cos²x - 2sin2x + 4cos2x = 0
</span><span>cos²x - sin2x + 2cos2x = 0
</span>cos²x - 2sinx·cosx + 2(cos²x - sin²x<span>) = 0
</span>3cos²x - 2sinx·cosx - 2sin²x = 0
Однородное уравнение. Делим обе части на cos²x, т.к. cos²x≠0
3 - 2tgx - 2tg²x = 0
2tg²x + 2tgx - 3 = 0
tgx = a
2a² + 2a - 3 = 0
D = 4 + 24 = 28
a = (-2 + 2√7)/4 = (-1 + √7)/2 или a = (-2 - 2√7)/4 = (-1 - √7<span>)/2
tgx = </span> (-1 + √7)/2 tgx = <span> (-1 - √7)/2</span><span>
x = arctg</span> (-1 + √7)/2 + πn x = -arctg (1 + √7) + πk
Ответ на фото//////////////////
7х-5х=-3-5
2х=-8
х=-8:2
х=-4
S={-4}