WARNING!!! DO NOT USE THE TAPE OUTPUT
The tape output line from your stereo receiver does not have volume control! Connecting your new sub-woofer up to these leads will result in the sub receiving the full-volume signal! This could possibly damage the speaker (and disturb the neighbors!) attempting to reproduce bass at that level!
Most sub-woofers have a level control on the to adjust how much response they have, but the problem is that you will want your sub-woofer to vary it's volume level with the rest of your music. Even if you do connect up to the tape outs, and then turn the level control down to a reasonable level, you will end up with too-bassy music at low volumes, and a lack of bass at high volumes, because the sub will not be receiving a volume-proportional signal.
Check your receiver, and see if it has a "pre-amp" output or something of that sorts. Some receivers even have a subwoofer output. The subwoofer output comes from what's called a crossover. A crossover divides the low and high frequencies, and directs them to the approperiate speaker or amplifier. If you use this subwoofer terminal, be sure to turn the cross-over in the sub itself up to the highest frequency level (your receiver's crossover will be performing the crossover task)