5. Trigonometry

Polar Parametric — Quiz

Test your understanding of polar parametric with 5 practice questions.

Practice Questions

Question 1

Eliminate the parameter to find the Cartesian equation of the curve defined by $x=2+t^2\,,\;y=t$.

Question 2

Convert the rectangular equation $y=\sqrt{3}\,x$ to a polar equation in the form $\theta=\dots$.

Question 3

Which polar equation represents a circle of radius 1 centered at $(1,0)$ in Cartesian coordinates?

Question 4

Eliminate the parameter from $x=3\cos t\,,\;y=2\sin t$ to find its Cartesian equation.

Question 5

For the parametric equations $x=3\cos t\,,\;y=2\sin t$, what is $\dfrac{dy}{dx}$ at $t=\tfrac{\pi}{4}\,$?