45cos(t^2/18)

Solution for 45cos(t^2/18) equation:

t in (-oo:+oo)

45*cos((t^2)/18) = 0

cos((t^2)/18) = 0

cos((t^2)/18) = 0  <=>  (t^2)/18 = pi*k_1+pi/2 i k_1 należy do I

t_1 = pi*k_1+pi/2

(t^2)/18-t_1 = 0

1/18*t^2 = t_1 // : 1/18

t^2 = 18*t_1

t^2 = 18*t_1 // ^ 1/2

abs(t) = 3*2^(1/2)*t_1^(1/2)

t = 3*2^(1/2)*t_1^(1/2) or t = -(3*2^(1/2)*t_1^(1/2))

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

t = -3*2^(1/2)*pi*k_1+pi/2^(1/2) i k_1 należy do I

45*cos((t^2)/18) = 0  <=>  45 = 0 or 45*cos((t^2)/18) = 0  <=>  cos((t^2)/18) = 0

t in { 3*2^(1/2)*pi*k_1+pi/2^(1/2), -3*2^(1/2)*pi*k_1+pi/2^(1/2) }