5sin(x)/5cos(x)

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

x in (-oo:+oo)

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

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

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

5*sin(x) = 0

sin(x) = 0

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

t_1 = pi*k_1

x-t_1 = 0

x-t_1 = 0 // + t_1

x = t_1

x = pi*k_1 i k_1 należy do I

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

cos(x) = 0

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

t_2 = pi*k_2+pi/2

x-t_2 = 0

x-t_2 = 0 // + t_2

x = t_2

x = pi*k_2+pi/2 i k_2 należy do I

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

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