There are a number of amplifiers in the TA series, but the connections are basically the same.
In your system, the amplifier serves as master control. How do you know? Look for the component that offers input selection -tuner, cassette, CD, video, phono and probably auxiliary. Every other component plugs into and is controlled by the integrated amplifier. For example, plug the tuner wires from the tuner output to the amplifier input marked "Tuner." To use the tuner, just select that input from the front panel. Same with all the other components.
On the back of that unit will a bunch of RCA jacks for left and right channels. Take the hook-up wires, usually RCA cables with colored plugs on each end, and connect the OUTPUT jacks on each separate component to the INPUT jacks on the amp. Power may also be controlled from the amp. On audio plugs, red is right and white is left. Keep the polarity constant as you connect each component. Connect the speaker wires to the speaker outputs, usually spring clips or screw terminals on the amplifier end and the same on each speaker. The DVD video cable will have three wires: Yellow, red and white. Yellow is always video. It may also have a little round video connector for S-VHS which provides a much better picture when using DVD.
Select your desired input and enjoy the show. Service Manual free download schematics datasheets eeprom bins pcb...