Distance between Cities Find the distance in kilometers between each pair of cities, assuming they lie on the same north-south line. Assume the radius of Earth is 6400 km. See Example 2. Panama City, Panama, 9° N, and Pittsburgh, Pennsylvania, 40° N

Distance between Cities Find the distance in kilometers between each pair of cities, assuming they lie on the same north-south line. Assume the radius of Earth is 6400 km. See Example 2.

Farmersville, California, 36° N, and Penticton, British Columbia, 49° N

Distance between Cities Find the distance in kilometers between each pair of cities, assuming they lie on the same north-south line. Assume the radius of Earth is 6400 km. See Example 2.

New York City, New York, 41° N, and Lima, Peru, 12° S

Distance between Cities Find the distance in kilometers between each pair of cities, assuming they lie on the same north-south line. Assume the radius of Earth is 6400 km. See Example 2.

Halifax, Nova Scotia , 45° N, and Buenos Aires, Argentina, 34° S

Distance Traveled by a Minute Hand Suppose the tip of the minute hand of a clock is 3 in. from the center of the clock. For each duration, determine the distance traveled by the tip of the minute hand. Leave answers as multiples of π . ​​30 min

Distance Traveled by a Minute Hand Suppose the tip of the minute hand of a clock is 3 in. from the center of the clock. For each duration, determine the distance traveled by the tip of the minute hand. Leave answers as multiples of π . 4.5 hr

Find the area of a sector of a circle having radius r and central angle θ. Express answers to the nearest tenth. See Example 5. r = 29.2 m, θ = 5π/6 radians

Find the area of a sector of a circle having radius r and central angle θ. Express answers to the nearest tenth. See Example 5.

r = 30.0 ft, θ = π/2 radians

Find the area of a sector of a circle having radius r and central angle θ. Express answers to the nearest tenth. See Example 5.

r = 12.7 cm, θ = 81°

Find the area of a sector of a circle having radius r and central angle θ. Express answers to the nearest tenth. See Example 5.

r = 40.0 mi, θ = 135°

Work each problem. See Example 5. A​​​​ngle Measure Find t​​he measure (in radians) of a central angle of a sector of area 16 in² a circle of radius 3.0 in.

Work each problem. See Example 5. Irrigation Area A center-pivot irrigation system provides water to a sector-shaped field as shown in the figure. Find the area of the field if θ = 40.0° and r = 152 yd.

Work each problem. See Example 5. Arc Length A circular sector has an area of 50 in² . The radius of the circle is 5 in. What is the arc length of the sector?

Each figure shows an angle θ in standard position with its terminal side intersecting the unit circle. Evaluate the six circular function values of θ.

Each figure shows an angle θ in standard position with its terminal side intersecting the unit circle. Evaluate the six circular function values of θ.

Find the exact values of (a) sin s, (b) cos s, and (c) tan s for each real number s. See Example 1.

s = π/2

Find the exact values of (a) sin s, (b) cos s, and (c) tan s for each real number s. See Example 1.

s = 2π

Find the exact values of (a) sin s, (b) cos s, and (c) tan s for each real number s. See Example 1.

s = ―π

Find each exact function value. See Example 2. sin 7π/6

Find each exact function value. See Example 2.

tan 3π/4

Find each exact function value. See Example 2.

csc 11π/6

Find each exact function value. See Example 2. cos (―4π/3)

Find each exact function value. See Example 2.

cos 7π/4

Find each exact function value. See Example 2.

sin (-4π/3)

Find each exact function value. See Example 2.

sec 23π/6

Find each exact function value. See Example 2.

tan 5π/6

Find a calculator approximation to four decimal places for each circular function value. See Example 3. sin 0.6109

Find a calculator approximation to four decimal places for each circular function value. See Example 3. cos (-1.1519)

Find a calculator approximation to four decimal places for each circular function value. See Example 3. tan 4.0203

Find a calculator approximation to four decimal places for each circular function value. See Example 3. csc (―9.4946)