2sin(x/5)cos(x/5)

Solution for 2sin(x/5)cos(x/5) equation:

x in (-oo:+oo)

2*sin(x/5)*cos(x/5) = 0

2*sin(x/5) = 0

sin(x/5) = 0

sin(x/5) = 0  <=>  x/5 = pi*k_1 i k_1 należy do I

t_1 = pi*k_1

x/5-t_1 = 0

1/5*x-t_1 = 0 // + t_1

1/5*x = t_1 // : 1/5

x = t_1/1/5

x = 5*t_1

x = 5*pi*k_1 i k_1 należy do I

2*sin(x/5) = 0  <=>  2 = 0 or 2*sin(x/5) = 0  <=>  sin(x/5) = 0

cos(x/5) = 0

cos(x/5) = 0  <=>  x/5 = pi*k_2+pi/2 i k_2 należy do I

t_2 = pi*k_2+pi/2

x/5-t_2 = 0

1/5*x-t_2 = 0 // + t_2

1/5*x = t_2 // : 1/5

x = t_2/1/5

x = 5*t_2

x = 5*pi*k_2+pi/2 i k_2 należy do I

2*sin(x/5)*cos(x/5) = 0  <=>  2*sin(x/5) = 0 or 2*sin(x/5)*cos(x/5) = 0  <=>  cos(x/5) = 0

x in { 5*pi*k_1, 5*pi*k_2+pi/2 }