1/2cos(2pi/3x)

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Solution for 1/2cos(2pi/3x) equation: 


x in (-oo:+oo)

(1/2)*cos(((2*pi)/3)*x) = 0

1/2 = 0

1/2 = 0 // * 2

1 = 0

cos(((2*pi)/3)*x) = 0

cos(((2*pi)/3)*x) = 0  <=>  ((2*pi)/3)*x = pi*k_1+pi/2 i k_1 należy do I

t_1 = pi*k_1+pi/2

((2*pi)/3)*x-t_1 = 0

((2*pi)/3)*x-t_1 = 0 // + t_1

((2*pi)/3)*x = t_1 // : (2*pi)/3

x = t_1/((2*pi)/3)

x = pi*k_1+pi/2/((2*pi)/3) i k_1 należy do I

(1/2)*cos(((2*pi)/3)*x) = 0  <=>  1/2 = 0 or (1/2)*cos(((2*pi)/3)*x) = 0  <=>  cos(((2*pi)/3)*x) = 0

x = pi*k_1+pi/2/((2*pi)/3)

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