x(t) = 12 cos (5t) + 4 sin (5t)
For which value of t the “Reduced Form” is equal to zero (x = 0) in the interval 0 < wt - phi < pi?
Pi = 3.14
If x = 0 then 12 cos(5t) + 4sin(5t) = 0
Rewrite as 4sin(5t) = -12cos(5t)
Divide both sides by 4cos(5t) to get: tan(5t) = -3
This gives 5t = tan-1(-3) so 5t = 1.893 radians (tan is negative in the 2nd quadrant)
t = 1.893/5 = 0.379
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Same answer today, in Radians, that was derived by guest, in degrees yesterday.....this question just keeps going and going and going.....