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Problem 11

Find all six trigonometric functions of \(\theta\) if the given point is on the terminal side of \(\theta\). (In Problem 15, assume that \(a\) is a positive number.) $$ (\sqrt{3},-1) $$

Problem 11

Indicate which of the angles below are acute angles and which are obtuse angles. Then give the complement and the supplement of each angle. $$ 45^{\circ} $$

Problem 11

Simplify. a. \(\frac{\frac{1}{a}}{\frac{1}{b}}\) b. \(\frac{\frac{1}{\cos \theta}}{\frac{1}{\sin \theta}}\)

Problem 12

Simplify. a. \(\frac{\frac{1}{a}}{\frac{b}{a}}\) b. \(\frac{\frac{1}{\cos \theta}}{\frac{\sin \theta}{\cos \theta}}\)

Problem 12

Give the reciprocal of each number. \(\frac{y}{r}\)

Problem 12

Indicate which of the angles below are acute angles and which are obtuse angles. Then give the complement and the supplement of each angle. $$ 90^{\circ} $$

Problem 12

Find all six trigonometric functions of \(\theta\) if the given point is on the terminal side of \(\theta\). (In Problem 15, assume that \(a\) is a positive number.) $$ (-2, \sqrt{5}) $$

Problem 13

Use the reciprocal identities for the following problems. If \(\sin \theta=\frac{4}{5}\), find \(\csc \theta\)

Problem 13

Find all six trigonometric functions of \(\theta\) if the given point is on the terminal side of \(\theta\). (In Problem 15, assume that \(a\) is a positive number.) $$ (0,-5) $$

Problem 13

Indicate which of the angles below are acute angles and which are obtuse angles. Then give the complement and the supplement of each angle. $$ 120^{\circ} $$

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