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Magazine Problem 18
The given numbers express angle measure. Eypress the measure of each angle in terms of degrees. $$\frac{\pi}{40}, \frac{5 \pi}{4}$$
Problem 18
Find the values of the given trigonometric functions by finding the reference angle and attaching the proper sign. $$\csc \left(-108.4^{\circ}\right)$$
Problem 18
Find the trigonometric functions of \(\theta\) if the terminal side of \(\theta\) passes through the given point. $$(16,-12)$$
Problem 19
Solve the given problems. Of the estimated natural gas reserves in North America, \(4.59 \times 10^{9} \mathrm{m}^{3}\) are in the United States, \(2.66 \times 10^{9} \mathrm{m}^{3}\) are in Canada, and \(1.99 \times 10^{9} \mathrm{m}^{3}\) are in Mexico. In making a circle graph (circular sectors represent percentages of the whole-a pie chart) with a radius of \(4.00 \mathrm{cm}\) for these data, what are the central angle and area of the sector that represents Canada's reserves?
Problem 19
Find the values of the given trigonometric functions directly from a calculator. $$\tan 152.4^{\circ}$$
Problem 19
Find the trigonometric functions of \(\theta\) if the terminal side of \(\theta\) passes through the given point. $$(-0.5,1.2)$$
Problem 19
The given numbers express angle measure. Express the measure of each angle in terms of degrees. $$-\frac{\pi}{9}, \frac{3 \pi}{20}$$
Problem 20
Find the values of the given trigonometric functions directly from a calculator. $$\cos 141.4^{\circ}$$
Problem 20
Find the trigonometric functions of \(\theta\) if the terminal side of \(\theta\) passes through the given point. $$(-39,-80)$$
Problem 20
The given numbers express angle measure. Express the measure of each angle in terms of degrees. $$\frac{9 \pi}{2},-\frac{4 \pi}{15}$$
