Provide an appropriate response.
-The parametric equations $$x = 2 \tan t , y = 3 \sec t$$ will graph a parabola.

Name: Provide an appropriate response. -The parametric equations \[x = 2 \tan t , y = 3 \sec t\] will graph a parabola.
Brand: Quizplus
Rating: 4.7 (37 reviews)

Question

Quizplus · Accepted Answer

The given parametric equations represent an ellipse, not a parabola, because both $\tan t$ and $\sec t$ are trigonometric functions that relate to the circle, and when combined in this way (with different coefficients), they describe an ellipse.

Provide an Appropriate Response x=2tan⁡t,y=3sec⁡tx = 2 \tan t , y = 3 \sec tx=2tant,y=3sect

Provide an Appropriate Response $x = 2 \tan t , y = 3 \sec t$