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Magazine Problem 144
For the following exercises, find rectangular coordinates for the given point in polar coordinates. $$\left(5, \frac{\pi}{3}\right)$$
Problem 145
For the following exercises, find rectangular coordinates for the given point in polar coordinates. $$\left(1, \frac{7 \pi}{6}\right)$$
Problem 146
For the following exercises, find rectangular coordinates for the given point in polar coordinates. $$\left(-3, \frac{3 \pi}{4}\right)$$
Problem 147
For the following exercises, find rectangular coordinates for the given point in polar coordinates. $$\left(0, \frac{\pi}{2}\right)$$
Problem 148
For the following exercises, find rectangular coordinates for the given point in polar coordinates. $$(-4.5,6.5)$$
Problem 149
For the following exercises, determine whether the graphs of the polar equation are symmetric with respect to the \(x\) -axis, the \(y\) -axis, or the origin. $$r=3 \sin (2 \theta)$$
Problem 150
For the following exercises, determine whether the graphs of the polar equation are symmetric with respect to the \(x\) -axis, the \(y\) -axis, or the origin. $$r^{2}=9 \cos \theta$$
Problem 151
For the following exercises, determine whether the graphs of the polar equation are symmetric with respect to the \(x\) -axis, the \(y\) -axis, or the origin. $$r=\cos \left(\frac{\theta}{5}\right)$$
Problem 152
For the following exercises, determine whether the graphs of the polar equation are symmetric with respect to the \(x\) -axis, the \(y\) -axis, or the origin. $$r=2 \sec \theta$$
Problem 153
For the following exercises, determine whether the graphs of the polar equation are symmetric with respect to the \(x\) -axis, the \(y\) -axis, or the origin. $$r=1+\cos \theta$$
