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Chapter 6: Q 4. (page 408)
The functionhas has amplitude 3 and period 2; then
The function has amplitude 3 and period 2; then
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In the problem, denotes the length of the arc of a circle of radius subtended by the central angle . Find the missing quantity. Round answers to three decimal places.
feet, radians,
The domain of the tangent function is _____.
Write the equation of a sine function that has the given characteristics.
Amplitude:
Period: role="math" localid="1646330159175"
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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