cos(x)/4cos(x)

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Solution for cos(x)/4cos(x) equation: 


x in (-oo:+oo)

(cos(x)/4)*cos(x) = 0

cos(x)/4 = 0

cos(x)/4 = 0 // * 4

cos(x) = 0

cos(x) = 0  <=>  x = pi*k_1+pi/2 i k_1 należy do I

t_1 = pi*k_1+pi/2

x-t_1 = 0

x-t_1 = 0 // + t_1

x = t_1

x = pi*k_1+pi/2 i k_1 należy do I

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

(cos(x)/4)*cos(x) = 0  <=>  cos(x)/4 = 0 or (cos(x)/4)*cos(x) = 0  <=>  cos(x) = 0

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

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