Express the polar equation \(r=\cos 2\theta\) in rectangular coordinates. Find the maximum height above the \(x\)-axis of the cardioid \(r=1+\cos \theta\text{.}\) Sketch the graph of the curve whose ...

The graph of \(y = \cos{\theta}\) has a maximum value of 1 and a minimum value of -1. The graph has a period of 360°. This is defined as \(\tan{\theta} = \frac{o}{a}\) and from the circle \(o ...

Sketch the graph of the ellipse \(\ds \frac{x^2 ... Find the equation of the tangent line to the polar curve \(r=1+\cos \theta\) at \(\ds \theta =\frac{\pi }{2}\text{.}\) Find an equation of the ...

The graph of \(y = \cos{\theta}\) has a maximum value of 1 and a minimum value of -1. The graph has a period of 360°. This is defined as \(\tan{\theta} = \frac{o}{a}\) and from the circle \(o ...