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The Bermuda triangle is a region of the Atlantic Ocean that connects Bermuda, Florida, and Puerto Rico. Find the area of the Bermuda triangle if the distance from Florida to Bermuda is 1030 miles, the distance from Puerto Rico to Bermuda is 980 miles, and the angle created by the two distances is 62°.

When must you use the Law of Cosines instead of the Pythagorean Theorem?

The sides of a parallelogram are 28 centimeters and 40 centimeters. The measure of the larger angle is \(100^{\circ} .\) Find the length of the shorter diagonal.

An airplane flies 220 miles with a heading of \(40^{\circ},\) and then flies 180 miles with a heading of \(170^{\circ} .\) How far is the plane from its starting point, and at what heading? Round answers to the nearest to the nearest tenth.

A triangular swimming pool measures 40 feet on one side and 65 feet on another side. These sides form an angle that measures \(50^{\circ} .\) How long is the third side (to the nearest tenth)?

How are the polar axes different from the \(x\) - and \(y\) -axes of the Cartesian plane?

Convert the equation from polar to rectangular form and graph on the rectangular plane. \(r=\sec \theta\)

Which of the three types of symmetries for polar graphs correspond to the symmetries with respect to the \(x\) -axis, \(y-\) axis, and origin?

For the following exercises, graph the polar equation. Identify the name of the shape. $$ r=2+5 \sin \theta $$

Find \(z_{1} z_{2}\) in polar form. $$z_{1}=\sqrt{5} \operatorname{cis}\left(\frac{5 \pi}{8}\right) ; z_{2}=\sqrt{15} \operatorname{cis}\left(\frac{\pi}{12}\right)$$