4k-1=27 33c=64+c 7e+28=84 5a+2a=35 последний переведи в дробь
4k=27+1 33c-c=64 7e=84-28 7a=35 подбирай и реши
4k=28 32c=64 7e=56 a=35/7 просто немогу в дробях
k=28/4 c=64/32 e=56/7 a=5 показать сори
k=7 c=2 e=8
cos2x+sin²x = 0,75
cos²x - sin²x + sin²x = 0.75
cos²x = 0.75
cosx = ±√0.75 = ±0.5√3
1) cosx = -0.5√3
x₁ = 5π/6 + 2πn
x₂ = -5π/6 + 2πn
n =1 x₁ = (2 + 5/6) π x∉[π; 5π/2]
x₂ = (2- 5/6) π = 7π/6 x∈[π; 5π/2]
n =2 x₁ = (4 + 5/6) π x∉[π; 5π/2]
x₂ = (4- 5/6) π x∉[π; 5π/2]
2) cosx = 0.5√3
x₁ = π/6 + 2πn
x₂ = -π/6 + 2πn
n =1 x₁ = (2 + 1/6) π = 13π/6 x∈[π; 5π/2]
x₂ = (2 - 1/6) π = 11π/6 x∈[π; 5π/2]
n =2 x₁ = (4 + 1/6) π x∉[π; 5π/2]
x₂ = (4- 1/6) π x∉[π; 5π/2]
ответ: x = 7π/6; 11π/6; 13π/6
4k-1=27 4k=28 k=7
33c=64+c 32c=64 c=2
7e+28=84 7e=56 e=8
5a+2a=35 7a=35 a=5
n:8=n:6-2 n/8-n/6=-2 (6n-8n)/48=-2 -2n=-96 n=48