1-sin (p/2-8x) - sin4x=0

Sin (p/2-8x) = cos (8x)

1-cos (8x) - sin (4x) = 0

cos (8x) = ((cos4x) ^2 - (sin4x) ^2)

1 - (cos4x) ^2 + (sin4x) ^2) - sin4x=0

1 - (cos4x) ^2 = (sin4x) ^2

(sin4x) ^2 + (sin4x) ^2-sin4x=0

2 * (sin4x) ^2 - (sin4x) = 0

(sin4x) = t

2*t^2-t=0

t (2t-1) = 0

t=0

t=1/2

1) sin4x=0 2) sin4x=1/2

1) 4x=Пn

x=Пn/4

2) 4x=П/6+2 пn х=П/24+пn/2

4x=5 п/6+2 пn x=5 П/24+пn/2