1)4m/3x
2)4x+2y/4a^2=2 (2x+y)/4a^2=2x+y/2а^2
3)2a/5b
4)6m-5n/y^4
1) 35Cos x + 7(Sin^2x + Cos^2x) = 6
35Cosx + 7*1 = 6
35Cosx = -1
Cosx = -1/35
x = +-arcCos(-1/35) + 2πk , k Є Z
2) 2x/7 = +-arcCos(3/4) +2πk , k Є Z
x = +-7/2arcCos)3/4) + 2πk , k Є Z
3)Sinx(5Sinx +25) = 0
Sinx = 0 или 5Sinx +25 = 0
x = πk , k Є Z нет решений
4)Sinx = t
t^2 - 4t -5 = 0
по т. Виета t1= -1 и t2 = 5
a)Sinx = -1 б) Sinx = 5
x = -π/2 + 2πk , k Є Z нет решений.
Sin²4x - cos²4x > -0.5
cos²4x - sin²4x < ½
cos8x < ½
8x ∈ (π/3 + 2πn; 5π/3 + 2πn), n ∈ ℤ
x ∈ (π/24 + πn/4; 5π/24 + πn/4), n ∈ ℤ
Ответ: x ∈ (π/24 + πn/4; 5π/24 + πn/4), n ∈ ℤ