1) sinx=1-2sin^2x
2sin^2x + sinx - 1 = 0
D=9
Sinx = -1 или sinx = 1/2
x=-П/2+2Пn,n э Z x=(-1)^k * П/6 + Пk, k э Z
2) √2 cos²7x - cos7x = 0
cos7x( √2cos7x - 1 ) = 0
cos7x=0 или cos7x= √2 /2
x=П/14 + Пn/7, n э Z x= +-п/28 + 2Пn/7 , n э Z
1) sinx=1-2sin^2x 2sin^2x + sinx - 1 = 0 D=в^2-4ас=4+4+1=9=3 Sinx = -1 или sinx = 1/2x1=-П/2+2Пn,n э Z
x2=(-1)^k * П/6 + Пk, k э Z2) √2 cos²7x - cos7x = 0cos7x( √2cos7x - 1 ) = 0cos7x=0 или cos7x= √2 /2x1=П/14 + Пn/7, n э Z
x2= +-п/28 + 2Пn/7 , n э Z
1) sinx=1-2sin^2x
2sin^2x + sinx - 1 = 0
D=9
Sinx = -1 или sinx = 1/2
x=-П/2+2Пn,n э Z x=(-1)^k * П/6 + Пk, k э Z
2) √2 cos²7x - cos7x = 0
cos7x( √2cos7x - 1 ) = 0
cos7x=0 или cos7x= √2 /2
x=П/14 + Пn/7, n э Z x= +-п/28 + 2Пn/7 , n э Z
1) sinx=1-2sin^2x
2sin^2x + sinx - 1 = 0
D=в^2-4ас=4+4+1=9=3
Sinx = -1 или sinx = 1/2
x1=-П/2+2Пn,n э Z
x2=(-1)^k * П/6 + Пk, k э Z
2) √2 cos²7x - cos7x = 0
cos7x( √2cos7x - 1 ) = 0
cos7x=0 или cos7x= √2 /2
x1=П/14 + Пn/7, n э Z
x2= +-п/28 + 2Пn/7 , n э Z