4cos(1/4(Pi)x)

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Solution for 4cos(1/4(Pi)x) equation: 


x in (-oo:+oo)

4*cos((1/4)*pi*x) = 0

cos((1/4)*pi*x) = 0

cos((1/4)*pi*x) = 0  <=>  (1/4)*pi*x = pi*k_1+pi/2 i k_1 należy do I

t_1 = pi*k_1+pi/2

(1/4)*pi*x-t_1 = 0

1/4*pi*x-t_1 = 0 // + t_1

1/4*pi*x = t_1 // : 1/4*pi

x = t_1/(1/4*pi)

x = 4*pi^-1*t_1

x = 4*pi^-1*pi*k_1+pi/2 i k_1 należy do I

4*cos((1/4)*pi*x) = 0  <=>  4 = 0 or 4*cos((1/4)*pi*x) = 0  <=>  cos((1/4)*pi*x) = 0

x = 4*pi^-1*pi*k_1+pi/2

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