Tan Graph: There is no amplitude, the graphs go on forever in both directions. The period of the graph is pi. Cotangent Graph: Amplitude and period are the same as tangent.
Cosine Graph: The amplitude is one and the period is 2pi. Secant Graph: The amplitude is none because they go on forever. Period is 2pi.
Sine Graph: Amplitude is 1 and period is 2pi. Cosecant Graph: Cosecant has no amplitude, it goes on forever. Period is 2pi.
Compare and Contrast The cosine and sine graphs look the same except the sine graph passes through (0, 0) and cosine has a point somewhere on the y-axis.
Vertical Asymptote For tangent and cotangent the vertical asymptote is at the end of each cycle. Cosecant has a vertical asymptote at pi and repeats every pi units. Secant has a vertical asymptote at pi/2 and repeats every pi units.