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EXAM 1 MATH 1316
FALL, 2010
DO ALL WORK ON THIS EXAM. BE SURE DEVICES. A CALCULATOR IS TO BE USED ONLY
ON THOSE PROBLEMS SO DESIGINATED. BE SURE ALL DEVICES ARE OFF. BE SURE TO
WRITE THE DEGREE SYMBOL WHEN NEEDED. YOUR FAILURE TO READ THESE
INSTRUCTIONS DOES NOT EXEMPT FROM THE CONSEQUENCES INCURRED.
DRAW EACH ANGLE IN STANDARD FORM. STATE THE QUDRANNT IN WHICH THE
TERMINAL SIDE LIES. NAME TWO COTERMINAL ANGLES, ONE POSITIVE AND THE OTHER
NEGATIVE. REDUCE ALL FRACTIONS; RATIONALIZE DENOMINATORS.
1. 217
2. 301
3. Use your calculator to change 1081437 to decimal measure. Round to three decimal
places.
4. Use your calculator to change 12.8793 to DMS.
5. Change 108 to radian measure.
6. Use your calculator to change 256.879 to radian measure. Round to three decimal
places.
7. Change
17
to degree measure.
6
8. Change 2.54 to degree measure. Round to two decimal places.
9. Find the length of an arc intercepted by a central angle with measure 40 in a circle with
radius 8 cm.
10. Use your calculator to find the area of the sector formed by a central angle of measure
0.64 in a circle with diameter 10 ft. Round to three decimal places.
11. Find the angular velocity of a wheel that makes 50 revolutions per minute in radians
per second.
12. Use your calculator to find the linear velocity in miles per hour of a 15 inch radius
wheel that makes 10 revolutions per second. Round to two decimal places.
13. if the coordinates of P, a point on the terminal side of angle  , drawn in standard
position are  2, 8 , find the exact values of the sine, cosine, and tangent of angle  .
14. COMPLETE THE FOLLOWING TABLE. DO NOT USE A CALCULATOR.
DEGREES
30
45
RADIANS
SINE
COSINE
TANGENT
60
15. USE YOUR CALCULATOR TO FIND EACH OF THE FOLLOWING. ROUND TO FOUR
DECIMAL PLACES.
a. csc123.56
b. tan1826
c. sec 1.56
d. sin 45