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Magazine Problem 120
Find a value of \(\theta\) in the interval \(\left[0^{\circ}, 90^{\circ}\right]\) that satisfies each statement. Write each answer in decimal degrees to six decimal places as needed. See Example \(8 .\) $$\csc \theta=1.3861147$$
Problem 121
Use identities to solve each of the following. Find csc \(\theta\), given that cot \(\theta=-\frac{1}{2}\) and \(\theta\) is in quadrant IV.
Problem 121
Find a value of \(\theta\) in the interval \(\left[0^{\circ}, 90^{\circ}\right]\) that satisfies each statement. Write each answer in decimal degrees to six decimal places as needed. See Example \(8 .\) $$\sec \theta=2.7496222$$
Problem 122
Find a value of \(\theta\) in the interval \(\left[0^{\circ}, 90^{\circ}\right]\) that satisfies each statement. Write each answer in decimal degrees to six decimal places as needed. See Example \(8 .\) $$\sec \theta=1.1606249$$
Problem 123
Use identities to solve each of the following. Find \(\tan \theta,\) given that \(\sin \theta=\frac{1}{2}\) and \(\theta\) is in quadrant II.
Problem 124
Use identities to solve each of the following. Find cot \(\theta\), given that \(\csc \theta=-2\) and \(\theta\) is in quadrant III.
Problem 125
Find a value of \(\theta\) in the interval \(\left[0^{\circ}, 90^{\circ}\right]\) that satisfies each statement. Write each answer in decimal degrees to six decimal places as needed. See Example \(8 .\) $$\csc \theta=4.7216543$$
Problem 125
Use identities to solve each of the following. Find cot \(\theta,\) given that \(\csc \theta=-3.5891420\) and \(\theta\) is in quadrant III.
Problem 126
Use identities to solve each of the following. Find \(\tan \theta,\) given that \(\sin \theta=0.49268329\) and \(\theta\) is in quadrant II.
Problem 127
Find the five remaining trigonometric finction values for each angle. \(\tan \theta=-\frac{15}{8},\) and \(\theta\) is in quadrant II.
