91Ó°ÊÓ

Determine whether each statement makes sense or does not make sense, and explain your reasoning. If 1 know the measures of all three angles of an oblique triangle, neither the Law of Sines nor the Law of Cosines can be used to find the length of a side.

A force of 6 pounds acts in the direction of \(40^{\circ}\) to the horizontal. The force moves an object along a straight line from the point (5,9) to the point \((8,20),\) with the distance measured in feet. Find the work done by the force.

Convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. $$\theta=\frac{\pi}{3}$$

In Exercises \(61-64,\) find the magnitude \(\|\mathbf{v}\|,\) to the nearest hundredth, and the direction angle \(\theta,\) to the nearest tenth of \(a\) degree, for each given vector \(\mathbf{v}\). $$\mathbf{v}=2 \mathbf{i}-8 \mathbf{j}$$

Use a graphing utility to graph the polar equation. $$r=2+2 \cos \theta$$

Use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. $$(1-i)^{5}$$

Use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. $$(\sqrt{3}-i)^{6}$$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I noticed that for a right triangle, the Law of Cosines reduces to the Pythagorean Theorem.

Briefly describe how the Law of Sines is proved.

Convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. $$r \sin \theta=3$$