Please help:

Eliminate the parameter
X=3tant Y=2sect

The final answer is a parabola but I'm not sure how to get there.

Question

Please help:

Eliminate the parameter
X=3tant Y=2sect

The final answer is a parabola but I'm not sure how to get there.

anonymous · Answer

Solve for t in the X = ... equation and sub that in for t in Y = ...
I'll get you started. First solve for in X =..equation: $$x = 3 \tan(t) \implies t = \arctan \left( \frac{ x }{ 3 } \right)$$ Let's plug this value of t in for t in y =... equation.$$\therefore y=2 \sec(\arctan (x/3))$$ Do you understand?

@blueglass

anonymous · Answer

I've been taught a method where you square everything and set sides equal to each other..are you familiar with that?

anonymous · Answer

for example, eventually I get: |dw:1366585882279:dw|