Eliminate t to give an equation that relates x and y: x=tan(t), y=sec^2(t)-4

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Eliminate t to give an equation that relates x and y: x=tan(t), y=sec^2(t)-4

[From: ] [author: ] [Date: 11-11-24] [Hit: ]

Eliminate t to give an equation that relates x and y:

x=tan(t), y=sec^2(t)-4

sec^2(t) = 1 + tan^2(t) (pythagoras identity)
so, sec^2(t) = 1 + x^2
==> y = 1 + x^2 - 4
==> y = x^2 - 3

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