James W wrote:

John,

It's been a while (20 years) since I took calculus, but I'm pretty sure
the slope of a sine wave at the zero crossing is +-1.

What value do you believe the slope to be?

The sine wave voltage was specified as 1 volt peak to peak (+- .5
volt) The impedance of the inductor was specified as 1 ohm. So
current peaks at +- .5 amp. A sine wave that has a peak value of +-
..5 and a period of 1 unit of time has a peak slope of pi/sec or
2*pi*(peak amplitude)/period.

--
John Popelish