22: Symmetry: Since both x and y are odd functions, the part of the curve for t negative is exactly the same as for t positive, just run in the opposite direction. Thus it is enough to consider only t from [0,∞).
Intercepts: (1,0) for t = 0; (0,(π/2 + kπ)²) for t = π/2 + kπ.

Limits:

Due to the oscillation in x, no asymptote possible at t infinity.
Picture:

Next investigate directions in which the curve goes and mononoticity of the resulting graph, inclusing "interesting" points.

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Answer