Answer
See graph, $x^2-y^2=1$
Work Step by Step
1. See graph for $(sec(t),tan(t))$ over $0\le t\le\frac{\pi}{4}$
2. Use the relation $sec^2t=tan^2t+1$, we have $x^2=y^2+1$ or $x^2-y^2=1$
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