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Chapter 5: Problem 14
Find the period and amplitude. $$y=-3 \sin \frac{x}{3}$$
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Equation of a Line in Standard Write the standard form of the equation of the line that has the specified characteristics. Passes through \(\left(\frac{1}{4},-\frac{2}{3}\right)\) and \(\left(-\frac{1}{2}, \frac{1}{3}\right)\)
(a) Use a graphing utility to complete the table. $$\begin{array}{|l|l|l|l|l|l|} \hline \theta & 0^{\circ} & 20^{\circ} & 40^{\circ} & 60^{\circ} & 80^{\circ} \\\ \hline \sin \theta & & & & & \\ \hline \sin \left(180^{\circ}-\theta\right) & & & & & \\ \hline \end{array}$$ (b) Make a conjecture about the relationship between \(\sin \theta\) and \(\sin \left(180^{\circ}-\theta\right)\)
Simplify the radical expression. \(\frac{2}{\sqrt{3}}\)
Simplify the radical expression. \(\frac{2 \sqrt{3}}{6}\)
In traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is \(3.5^{\circ} .\) After you drive 13 miles closer to the mountain, the angle of elevation is \(9^{\circ}\) (see figure). Approximate the height of the mountain.
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