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```Test One – Trigonometry – Fall 2004
Name _______________________________________
This page must be done without the use of the graphing calculator. All fraction answers must be reduced
(4 points each question)
Evaluate each of the following.
____________1a. sin 60º
____________1b. sin 300º
____________2a. sec 30º
____________2b. sec 330º
____________3a. tan 45º
____________3b. tan 135º
____________4a. cos 90º
____________4b. tan 270º
____________5a. cot 180º
____________5b. cos 0º
____________6a. Evaluate cos 90º + sin 60º
____________6b. Evaluate 5 sin2 45º
____________7. Evaluate cos2 57º + sin2 57º
8. Label each of the following as P (possible) or NP (not possible)
____________8a. sin θ = 0.2356
____________8b sec θ = -8.2356
9. Give the SIGN (+ or -) for each of the following:
____________9a. sin 312º
____________9b. csc 104º
____________10. If sin θ = 1/2, determine θ in the interval [0, 360º)
Test one – Trigonometry – Fall 2004
Name __________________________________________
YOU MAY USE YOUR CALCULATOR ON THIS PORTION OF THE EXAM. HOWEVER EXACT
ANSWER ARE REQUIRED. ROUNDED DECIMALS WILL NOT BE ACCEPTED.*****
____________11. Determine the tangent of an angle in standard position whose terminal side
passes through (5, 17)
____________12. Determine the sine of an angle in standard position whose terminal side passes
through (-3, 4)
____________13. Determine the cosine of an angle in standard position whose terminal side passes
through (-5, 2)
____________ 14. If sec θ = 3 and θ is in quadrant four, determine cos θ.
____________ 15. If sin θ = 4/7 and θ is in quadrant two, determine sec θ.
____________ 16. Give the complement of 57º 34' 17". Give your answer in degrees, minutes and seconds.
17 – 20. Determine the value of x in each of the diagrams.
____________17.
____________18.
4x - 47
5x
2x+7
2x + 20
6x + 40
____________ 19.
____________ 20.
16
x
30º
7
x
11
14
YOUR ANSWERS ON THE REMAINDER OF THE EXAM MAY BE IN DECIMAL FORM,
ROUNDED TO THE NEAREST THOUSANDTH.
____________ 21. Convert 75.8972º to degrees, minutes and seconds.
____________ 22. Find the smallest positive angle coterminal with -258º
____________ 23. Determine cos (152.72º)
____________ 24. Determine sec (152.72º)
____________ 25. If tan θ = 16.8712, determine θ in quadrant one.
____________ 26. If cot θ = 16.8712, determine θ in quadrant one.
____________ 27. Given the formula F = w sin θ, determine the grade resistance of a 2800lb
car traveling on a downhill grade of -1.26º
____________ 28. Given a right triangle with A = 57º 23' and a = 34.78 inches, determine the value of b.
____________ 29. The shadow of a vertical tower is 72.87 m long when the angle
of elevation of the sun is 31.5º.
Find the height of the tower.
31.5o
____________ 30. Evaluate
sin 2523'14"
cos 2523'14"
__________________BONUS: Sketch a 147º angle is standard position. Place a point 3 spaces out on the
terminal side (so that the distance from the origin to the point is 3). Give the coordinates of
the point to the nearest thousandth.
```
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