Chapter 9

Convert each degree measure to radians. Leave answers as rational multiples of \(\pi .\) $$-45^{\circ}$$

Find exact values of the six trigonometric functions for each angle by hand. Do not use a calculator. $$-\frac{7 \pi}{4}$$

Use the appropriate reciprocal identity to find each function value. Rationalize denominators when applicable. $$\cot \theta, \text { given that } \tan \theta=18$$

Graph each function over a two-period interval. $$y=-2-\cot x$$

Convert each degree measure to radians. Leave answers as rational multiples of \(\pi .\) $$-210^{\circ}$$

Find exact values of the six trigonometric functions for each angle by hand. Do not use a calculator. $$-\frac{4 \pi}{3}$$

Use the appropriate reciprocal identity to find each function value. Rationalize denominators when applicable. $$\cos \theta, \text { given that } \sec \theta=-\frac{5}{2}$$

Graph each function over a two-period interval. $$y=-1+2 \tan x$$

Convert each radian measure to degrees. $$\frac{\pi}{3}$$

Find exact values of the six trigonometric functions for each angle by hand. Do not use a calculator. $$-\frac{19 \pi}{6}$$

Use the appropriate reciprocal identity to find each function value. Rationalize denominators when applicable. $$\cos \theta, \text { given that } \sec \theta=-\frac{11}{7}$$

Graph each function over a two-period interval. $$y=3+\frac{1}{2} \tan x$$

Convert each radian measure to degrees. $$\frac{8 \pi}{3}$$

Use the appropriate reciprocal identity to find each function value. Rationalize denominators when applicable. $$\sin \theta, \text { given that } \csc \theta=\sqrt{2}$$

Graph each function over a two-period interval. $$y=-1+\frac{1}{2} \cot (2 x-3 \pi)$$

Convert each radian measure to degrees. $$\frac{7 \pi}{4}$$

Use a calculator to find a decimal approximation for each value. Give as many digits as your calculator displays. $$\tan 29^{\circ}$$

Use the appropriate reciprocal identity to find each function value. Rationalize denominators when applicable. $$\sin \theta, \text { given that } \csc \theta=\frac{2 \sqrt{6}}{3}$$

Graph each function over a two-period interval. $$y=-2+3 \tan (4 x+\pi)$$

Convert each radian measure to degrees. $$\frac{2 \pi}{3}$$

Use a calculator to find a decimal approximation for each value. Give as many digits as your calculator displays. $$\sin 38^{\circ}$$

Use the appropriate reciprocal identity to find each function value. Rationalize denominators when applicable. $$\tan \theta, \text { given that } \cot \theta=-2.5$$

Convert each radian measure to degrees. $$\frac{11 \pi}{6}$$

Use a calculator to find a decimal approximation for each value. Give as many digits as your calculator displays. $$\cot 41^{\circ} 24^{\prime}$$

Use the appropriate reciprocal identity to find each function value. Rationalize denominators when applicable. $$\tan \theta, \text { given that } \cot \theta=-0.01$$

Convert each radian measure to degrees. $$\frac{15 \pi}{4}$$

Use a calculator to find a decimal approximation for each value. Give as many digits as your calculator displays. $$\csc 145^{\circ} 45^{\prime}$$

If \(n\) is an integer, \(n \cdot 180^{\circ}\) represents an integer multiple of \(180^{\circ},(2 n+1) \cdot 90^{\circ}\) represents an odd integer multiple of \(90^{\circ}\), and so on. Decide whether each expression is equal to \(0,1\), or \(-1\) or is undefined. $$\sin \left(n \cdot 180^{\circ}\right)$$

Convert each degree measure to radians. Round to the nearest hundredth. $$39^{\circ}$$

Use a calculator to find a decimal approximation for each value. Give as many digits as your calculator displays. $$\sec 183^{\circ} 48^{\prime}$$

If \(n\) is an integer, \(n \cdot 180^{\circ}\) represents an integer multiple of \(180^{\circ},(2 n+1) \cdot 90^{\circ}\) represents an odd integer multiple of \(90^{\circ}\), and so on. Decide whether each expression is equal to \(0,1\), or \(-1\) or is undefined. $$\sin \left[(2 n+1) \cdot 90^{\circ}\right]$$

In the screen shown, the value 3 is stored in S. Then the value of \((\cos (\mathrm{S}))^{2}+(\sin (\mathrm{S}))^{2}\) is shown to be \(1 .\) Duplicate this screen on your own calculator, but use several different values of S. Is the result always \(1 ?\) Explain. (IMAGE CAN'T COPY)

Convert each degree measure to radians. Round to the nearest hundredth. $$74^{\circ}$$

Use a calculator to find a decimal approximation for each value. Give as many digits as your calculator displays. $$\cos 421^{\circ} 30^{\circ}$$

If \(n\) is an integer, \(n \cdot 180^{\circ}\) represents an integer multiple of \(180^{\circ},(2 n+1) \cdot 90^{\circ}\) represents an odd integer multiple of \(90^{\circ}\), and so on. Decide whether each expression is equal to \(0,1\), or \(-1\) or is undefined. $$\tan \left(2 n \cdot 90^{\circ}\right)$$

Use the identity \(\cos ^{2} s+\sin ^{2} s=1\) to find the value of \(x\) or \(y,\) as appropriate. Then, assuming that \(s\) corresponds to the given point on the unit circle, find the six circular function values for \(s\). $$\left(\frac{3}{5}, y\right), y>0$$

Convert each degree measure to radians. Round to the nearest hundredth. $$139^{\circ} 10^{\prime}$$

Use a calculator to find a decimal approximation for each value. Give as many digits as your calculator displays. $$\tan \left(-80^{\circ} 6^{\circ}\right)$$

If \(n\) is an integer, \(n \cdot 180^{\circ}\) represents an integer multiple of \(180^{\circ},(2 n+1) \cdot 90^{\circ}\) represents an odd integer multiple of \(90^{\circ}\), and so on. Decide whether each expression is equal to \(0,1\), or \(-1\) or is undefined. $$\tan \left[(2 n+1) \cdot 90^{\circ}\right]$$

Use the identity \(\cos ^{2} s+\sin ^{2} s=1\) to find the value of \(x\) or \(y,\) as appropriate. Then, assuming that \(s\) corresponds to the given point on the unit circle, find the six circular function values for \(s\). $$\left(\frac{7}{25}, y\right), y>0$$

Convert each degree measure to radians. Round to the nearest hundredth. $$174^{\circ} 50^{\prime}$$

Use a calculator to find a decimal approximation for each value. Give as many digits as your calculator displays. $$\sin \left(-317^{\circ} 36^{\prime}\right)$$

If \(n\) is an integer, \(n \cdot 180^{\circ}\) represents an integer multiple of \(180^{\circ},(2 n+1) \cdot 90^{\circ}\) represents an odd integer multiple of \(90^{\circ}\), and so on. Decide whether each expression is equal to \(0,1\), or \(-1\) or is undefined. $$\cos \left[(2 n+1) \cdot 90^{\circ}\right]$$

Use the identity \(\cos ^{2} s+\sin ^{2} s=1\) to find the value of \(x\) or \(y,\) as appropriate. Then, assuming that \(s\) corresponds to the given point on the unit circle, find the six circular function values for \(s\). $$\left(x, \frac{24}{25}\right), x<0$$

Convert each degree measure to radians. Round to the nearest hundredth. $$64.29^{\circ}$$

Use a calculator to find a decimal approximation for each value. Give as many digits as your calculator displays. $$\sin 2.5$$

If \(n\) is an integer, \(n \cdot 180^{\circ}\) represents an integer multiple of \(180^{\circ},(2 n+1) \cdot 90^{\circ}\) represents an odd integer multiple of \(90^{\circ}\), and so on. Decide whether each expression is equal to \(0,1\), or \(-1\) or is undefined. $$\cot \left(n \cdot 180^{\circ}\right)$$

Use the identity \(\cos ^{2} s+\sin ^{2} s=1\) to find the value of \(x\) or \(y,\) as appropriate. Then, assuming that \(s\) corresponds to the given point on the unit circle, find the six circular function values for \(s\). $$\left(x, \frac{8}{17}\right), x<0$$

Convert each degree measure to radians. Round to the nearest hundredth. $$122.62^{\circ}$$

Use a calculator to find a decimal approximation for each value. Give as many digits as your calculator displays. $$\cos 3.8$$