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Find a degree 
Magazine Problem 11
Plot the point that has the given polar coordinates. Then give two other polar coordinate representations of the point, one with \(r<0\) and the other with \(r>0\). $$(-1,7 \pi / 6)$$
Problem 12
Plot the point that has the given polar coordinates. Then give two other polar coordinate representations of the point, one with \(r<0\) and the other with \(r>0\). $$(-2,-\pi / 3)$$
Problem 12
A pair of parametric equations is given. (a) Sketch the curve represented by the parametric equations. (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. $$x=|t|, \quad y=|1-| t||$$
Problem 12
Graph the complex number and find its modulus. $$-1-\frac{\sqrt{3}}{3} i$$
Problem 13
Test the polar equation for symmetry with respect to the polar axis, the pole, and the line \(\theta=\pi / 2\) $$r=\frac{4}{3-2 \sin \theta}$$
Problem 13
A pair of parametric equations is given. (a) Sketch the curve represented by the parametric equations. (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. $$x=2 \sin t, \quad y=2 \cos t, \quad 0 \leq t \leq \pi$$
Problem 13
Graph the complex number and find its modulus. $$\frac{3+4 i}{5}$$
Problem 13
Plot the point that has the given polar coordinates. Then give two other polar coordinate representations of the point, one with \(r<0\) and the other with \(r>0\). $$(-5,0)$$
Problem 14
A pair of parametric equations is given. (a) Sketch the curve represented by the parametric equations. (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. $$x=2 \cos t, \quad y=3 \sin t, \quad 0 \leq t \leq 2 \pi$$
Problem 14
Plot the point that has the given polar coordinates. Then give two other polar coordinate representations of the point, one with \(r<0\) and the other with \(r>0\). $$(3,1)$$
