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Chapter 6: Q. 10 (page 395)
True or False.
The formula is false.
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Approximating the Circumference of Earth Eratosthenes of Cyrene (276–195 bc) was a Greek scholar who lived and worked in Cyrene and Alexandria. One day while visiting in
Syene he noticed that the Sun’s rays shone directly down a well. On this date 1 year later, in Alexandria, which is 500 miles due north of Syene he measured the angle of the Sun to be about 6.2 degrees. See the figure. Use this information to approximate the radius and circumference of Earth.
Keeping Up with the Sun How fast would you have to travel on the surface of Earth at the equator to keep up with the Sun (that is, so that the Sun would appear to remain in
the same position in the sky)?
Write the equation of a sine function that has the given characteristics.
Amplitude:
Period:
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 .
.
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.
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