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Problem 106

Convert \(80^{\circ}\) to radians. a. \(\frac{7 \pi}{18}\) b. \(\frac{4 \pi}{9}\) c. \(\frac{5 \pi}{11}\) d. \(\frac{9 \pi}{20}\)

Problem 107

Which of the following statements is false? a. \(\cos \pi=0\) b. \(\tan \frac{\pi}{3}=\sqrt{3}\) c. \(\sin \frac{\pi}{2}=1\) d. \(\sec \frac{\pi}{4}=\sqrt{2}\)

Problem 107

The problems that follow review material we covered in Section \(2.3\). Problems 107 through 112 refer to right triangle \(A B C\) in which \(C=90^{\circ}\). Solve each triangle. $$ A=42^{\circ}, c=36 $$

Problem 108

The problems that follow review material we covered in Section \(2.3\). Problems 107 through 112 refer to right triangle \(A B C\) in which \(C=90^{\circ}\). Solve each triangle. $$ A=58^{\circ}, c=17 $$

Problem 108

Give the reference angle for \(\frac{11 \pi}{6}\). a. \(\pi\) b. \(\frac{\pi}{2}\) c. \(\frac{\pi}{3}\) d. \(\frac{\pi}{6}\)

Problem 109

The problems that follow review material we covered in Section \(2.3\). Problems 107 through 112 refer to right triangle \(A B C\) in which \(C=90^{\circ}\). Solve each triangle. $$ B=22^{\circ}, b=320 $$

Problem 112

The problems that follow review material we covered in Section \(2.3\). Problems 107 through 112 refer to right triangle \(A B C\) in which \(C=90^{\circ}\). Solve each triangle. $$ a=7.12, c=8.44 $$

Problem 114

If angle \(\theta\) is in standard position and the terminal side of \(\theta\) intersects the unit circle at the point \(\left(-\frac{\sqrt{17}}{17}, \frac{4 \sqrt{17}}{17}\right)\), find \(\tan \theta\). a. \(-4\) b. \(-\frac{1}{4}\) c. \(-\frac{\sqrt{17}}{17}\) d. \(\frac{4 \sqrt{17}}{17}\)

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