The current, I, in amperes, for an electric circuit is given by the formula I=4.3sin120(pi)t, where t is time, in seconds.

a)At what time is the current at its max volume? How does your understanding of co terminal angles help in your solution?

b)What time is the current at its minimum value?

this makes no sense to me, and I have no idea how I can incorporate trig into this. Please give a thorough explanation! Thanks.

1 answer

I has a period of 1/60 seconds. Since it starts at zero, it is a maximum 1/4 period into each cycle, or t=1/240. Then again every 1/60 of a second.

It is a minimum at half a period, or 1/120 seconds after each maximum.

Just review the properties of the sine function.