# Trace the curve r^2=4cos^ theta tan^2 theta

Question
Analytic geometry
Trace the curve $$\displaystyle{r}^{{2}}={4}{{\cos}^{\theta}{{\tan}^{{2}}\theta}}$$

2021-03-08

### Relevant Questions

Trace the curve of $$\displaystyle{x}^{{3}}-{6}{x}^{{2}}+{11}{x}-{y}={6}$$
Trace the curve $$\displaystyle{y}=\frac{{x}}{{{x}-{1}}}{\left({x}+{3}\right)}$$
Let v = zk be the velocity field of a fluid in $$\displaystyle{R}^{{3}}$$. Calculate the flow rate through the upper hemisphere (z > 0) of the sphere $$\displaystyle{x}^{{2}}+{y}^{{2}}+{z}^{{2}}={1}.$$
Find an equation of the plane passing through the three points given. P = (2, 0, 0), Q = (0, 4, 0), R = (0, 0, 2)
Given:
$$\displaystyle\theta={240}^{\circ}$$
Find the value of $$\displaystyle\theta$$ in radians (in terms of $$\displaystyle\pi$$)
s=38,000cm
$$\displaystyle\theta={45.3}^{\circ}$$
Use the arc length formula.
Find the six function values of $$\displaystyle{8}^{\circ}$$ in terms of p, q and r, if
$$\displaystyle{{\sin{{82}}}^{\circ}=}{p}$$
$$\displaystyle{{\cos{{82}}}^{\circ}=}{q}$$
$$\displaystyle{{\tan{{82}}}^{\circ}=}{r}$$
What id the circumference of the circle? use $$\displaystyle\frac{{22}}{{7}}$$ for $$\displaystyle\pi,{r}={21}$$ cm
A. Let (X,d) be a metric space. Define a diametr of a ubset A of X and then the diametr of an open ball with center $$\displaystyle{x}_{{0}}$$ and rarios r>0.
B. Use (A) to show that every covergence sequnce in (X,d) is bounded.

$$\sec \theta = -3, \tan \theta > 0$$. Find the exact value of the remaining trigonometric functions of
$$\theta$$.

...