Chapter 6: Q. 1 (page 364)
What is the formula for the circumference of a circle of radius ? What is the formula for the area of a circle of radius ?
The solution is.
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Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.
the point (x, y) is on the terminal side of angle in standard position. Find the exact value of the given trigonometric function
Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.
Designing a Little League Field For a 60-foot Little League Baseball field, the distance from home base to the nearest fence (or other obstruction) in fair territory should
be a minimum of 200 feet. The commissioner of parks and recreation is making plans for a new 60-foot field. Because of limited ground availability, he will use the minimum required distance to the outfield fence. To increase safety, however, he plans to include a 10-foot wide warning track on the inside of the fence. To further increase safety, the fence and warning track will extend both directions into foul territory. In total, the arc formed by the outfield fence (including the extensions into the foul territories) will be subtended by a central angle at home plate measuring 96°, as illustrated.
(a) Determine the length of the outfield fence.
(b) Determine the area of the warning track.
In problems 13-20, is the point on the unit circle that corresponds to a real number . Find the exact values of the six trigonometric functions of .
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