Cos((pi/3)/x)

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Solution for Cos((pi/3)/x) equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

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

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

t_1 = pi*k_1+pi/2

(pi/3)/x-t_1 = 0

(pi/3)*x^-1 = t_1 // : pi/3

x^-1 = t_1/(pi/3)

-1 < 0

1/(x^1) = t_1/(pi/3) // * x^1

1 = (t_1/(pi/3))*x^1 // : t_1/(pi/3)

1/(t_1/(pi/3)) = x^1

x = 1/(t_1/(pi/3))

x = 1/(pi*k_1+pi/2/(pi/3)) i k_1 należy do I

x = 1/(pi*k_1+pi/2/(pi/3))

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