This is the question: The voltage from a wall socket can be described by the equation v(t)= 170sin120pit, where t is time, in seconds, and V is the voltage in volts at time t.
1. Find the maximum and minimum voltage levels and the times at which they occur.
Please help. I have a test tmrw. Thank you.
Ah, I guess the function is . The period of sin(x) is , and multiplying the argument x by some constant a reduces the period a times, i.e., the period of sin(ax) is . Now, as with regular sin(x), the maximum of sin(ax) is reached at 1/4 the period and the minimum at 3/4 the period. The maximum and minimum of sin(ax) are 1 and -1, respectively, so the maximum and minimum of b * sin(ax) where b > 0 are b and -b, respectively.