Find the area of each sector given its central angle $\theta$ and the radius of the circle. Round to the nearest tenth. $\theta=54^{\circ}, r=6$

Determine each angular velocity. Round to the nearest tenth. 100 revolutions in 16 minutes

Determine each angular velocity. Round to the nearest tenth. 28.4 revolutions in 19 seconds

Determine each angular velocity. Round to the nearest tenth. 17.2 revolutions in 12 seconds

Determine each angular displacement in radians. Round to the nearest tenth. 13.2 revolutions

Determine each angular displacement in radians. Round to the nearest tenth. 50.4 revolutions

Write an equation of the cosine function with each amplitude and period. amplitude = 1.5, period = $5 \pi$

Change each radian measure to degree measure. Round to the nearest tenth, if necessary. $\frac{5 \pi}{6}$

Find each value by referring to the graphs of the trigonometric functions. $\tan (-8 \pi)$

Write a cosine function that is equivalent to $y=3 \sin (x-\pi)+5$

Determine each angular displacement in radians. Round to the nearest tenth. 2.7 revolutions

The average monthly temperatures for the city of Honolulu, Hawaii, are given below.

$$\begin{matrix} \text{Jan} & \text{Feb} & \text{Mar} & \text{Apr} & \text{May} & \text{Jun} & \text{Jul} & \text{Aug} & \text{Sep} & \text{Oct} & \text{Nov} & \text{Dec}\\ \ {73^{\circ}} & \ {73^{\circ}} & \ {74^{\circ}} & \ {76^{\circ}} & \ {78^{\circ}} & \ {79^{\circ}} & \ {81{\circ}} & \ {81^{\circ}} & \ {81^{\circ}} & \ {80^{\circ}} & \ {77^{\circ}} & \ {74^{\circ}}\\ \end{matrix}$$

According to your model, what is the average temperature in May? How does this compare to the actual average?

The average monthly temperatures for the city of Honolulu, Hawaii, are given below.

$$\begin{matrix} \text{Jan} & \text{Feb} & \text{Mar} & \text{Apr} & \text{May} & \text{Jun} & \text{Jul} & \text{Aug} & \text{Sep} & \text{Oct} & \text{Nov} & \text{Dec}\\ \ {73^{\circ}} & \ {73^{\circ}} & \ {74^{\circ}} & \ {76^{\circ}} & \ {78^{\circ}} & \ {79^{\circ}} & \ {81{\circ}} & \ {81^{\circ}} & \ {81^{\circ}} & \ {80^{\circ}} & \ {77^{\circ}} & \ {74^{\circ}}\\ \end{matrix}$$

According to your model, what is the average temperature in August? How does this compare to the actual average?

Earth has been charted with vertical and horizontal lines so that points can be named with coordinates. The horizontal lines are called latitude lines. The equator is latitude line 0. Parallel lines are numbered up to $\frac{\pi}{2}$ to the north and to the south. If we assume Earth is spherical, the length of any parallel of latitude is equal to the circumference of a great circle of Earth times the cosine of the latitude angle. What is the circumference of the equator?