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Chapter 6: Q. 38 (page 365)
Convert each angle in degrees to radians. Express your answer as a multiple of .
The required measure of angle is.
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Approximating the Circumference of Earth Eratosthenes of Cyrene (276鈥�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鈥檚 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.
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.
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)?
For a circle of radius r, a central angle of u degrees subtends an arc whose length s is . Discuss whether this is a true or false statement. Give reasons to defend your position.
the point (x, y) is on the terminal side of angle in standard position. Find the exact value of the given trigonometric function
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