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Name: ________________________ Class: ___________________ Date: __________<br />
ID: A<br />
<strong>Algebra</strong> II: Trig 1 <strong>Study</strong> <strong>Guide</strong><br />
Short Answer<br />
1. Find the measure of the angle below.<br />
Sketch the angle in standard position.<br />
2. 55º<br />
3. –150º<br />
4. Find the measure of an angle between 0º and 360º coterminal with an angle of –110º in standard position.<br />
5. In navigation, a bearing is the angle of a course, measured in a clockwise direction, from due north. Find the<br />
positive angle in standard position for a ship’s bearing of 320º.<br />
6. In which quadrant does the terminal side of a 118º angle lie<br />
7. Find the cosine and sine of 240º. Round your answers to the nearest hundredth if necessary.<br />
8. Find the exact value of cos 300º and sin 300º.<br />
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Name: ________________________<br />
ID: A<br />
9. For an angle in standard position measuring –163º, find the values of cos θ and sin θ . Round your answers<br />
to the nearest hundredth.<br />
10. For an angle in standard position measuring 92º, find the values of cosθ and sinθ . Round your answers to<br />
the nearest hundredth.<br />
11. 320º<br />
12. 45º<br />
Write the measure in radians. Express the answer in terms of π.<br />
Write the measure in degrees.<br />
13.<br />
3π<br />
5 radians<br />
14. – 7π 4 radians<br />
15. Find the degree measure of an angle of 4.23 radians.<br />
Ê<br />
16. Find the exact values of cos 3π Ë<br />
Á 4 radians<br />
ˆ<br />
¯<br />
˜ and sin Ê 3π Ë<br />
Á 4 radians<br />
ˆ<br />
¯<br />
˜.<br />
17. A weather satellite in circular orbit around Earth completes one orbit every 5 hours. The radius of Earth is<br />
about 6,400 km and the satellite is positioned 4,700 km above the Earth. How far does the satellite travel in 1<br />
hour Round your answer to the nearest kilometer.<br />
18. A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between<br />
them is 165º. To the nearest tenth, what is the measure of the intercepted arc between those two cars on the<br />
Ferris wheel<br />
19. The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff 25 feet above<br />
the water makes a 25° angle with the water. To the nearest foot, how far is the boat from the cliff<br />
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Name: ________________________<br />
ID: A<br />
20. In ∆XYZ, ∠Y is a right angle and sin X = 20 . Find cos X in fraction and in decimal form. Round to the<br />
25<br />
nearest hundredth, if necessary.<br />
21.<br />
Find the length x. Round to the nearest tenth.<br />
22.<br />
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Name: ________________________<br />
ID: A<br />
23.<br />
24. In ∆ABC, ∠C is a right angle. Find m∠B to the nearest tenth of a degree.<br />
Find the angle measure to the nearest tenth of a degree.<br />
25. sin −1 0.2026<br />
26. cos −1 0.0682<br />
27. tan −1 7.9321<br />
In ∆ABC, ∠C is a right angle. Find the remaining sides and angles. Round your answers to the nearest<br />
tenth.<br />
28. a = 3.4, c = 5.8<br />
29. Howard is flying a kite and wants to find its angle of elevation. The string on the kite is 32 meters long and<br />
the kite is level with the top of a building that he knows is 28 meters high.<br />
a. Draw a diagram of the situation.<br />
b. To the nearest tenth of a degree, find the angle of elevation. Show your work.<br />
4
ID: A<br />
<strong>Algebra</strong> II: Trig 1 <strong>Study</strong> <strong>Guide</strong><br />
Answer Section<br />
SHORT ANSWER<br />
1. OBJ: 13-2.1 Working With Angles in Standard Position<br />
2. OBJ: 13-2.1 Working With Angles in Standard Position<br />
3. OBJ: 13-2.1 Working With Angles in Standard Position<br />
4. OBJ: 13-2.1 Working With Angles in Standard Position<br />
5. OBJ: 13-2.1 Working With Angles in Standard Position<br />
6. OBJ: 13-2.1 Working With Angles in Standard Position<br />
7. OBJ: 13-2.2 Using the Unit Circle<br />
8. OBJ: 13-2.2 Using the Unit Circle<br />
9. OBJ: 13-2.2 Using the Unit Circle<br />
10. OBJ: 13-2.2 Using the Unit Circle<br />
11. OBJ: 13-3.1 Using Radian Measure<br />
12. OBJ: 13-3.1 Using Radian Measure<br />
13. OBJ: 13-3.1 Using Radian Measure<br />
14. OBJ: 13-3.1 Using Radian Measure<br />
15. OBJ: 13-3.1 Using Radian Measure<br />
16. OBJ: 13-3.1 Using Radian Measure<br />
17. OBJ: 13-3.2 Finding the Length of an Arc<br />
18. OBJ: 13-3.2 Finding the Length of an Arc<br />
19. OBJ: 14-3.1 Finding the Lengths of Sides in a Right Triangle<br />
20. OBJ: 14-3.1 Finding the Lengths of Sides in a Right Triangle<br />
21. OBJ: 14-3.1 Finding the Lengths of Sides in a Right Triangle<br />
22. OBJ: 14-3.1 Finding the Lengths of Sides in a Right Triangle<br />
23. OBJ: 14-3.1 Finding the Lengths of Sides in a Right Triangle<br />
24. OBJ: 14-3.2 Finding the Measures of Angles in a Right Triangle<br />
25. OBJ: 14-3.2 Finding the Measures of Angles in a Right Triangle<br />
26. OBJ: 14-3.2 Finding the Measures of Angles in a Right Triangle<br />
27. OBJ: 14-3.2 Finding the Measures of Angles in a Right Triangle<br />
28. OBJ: 14-3.2 Finding the Measures of Angles in a Right Triangle<br />
29. OBJ: 14-3.2 Finding the Measures of Angles in a Right Triangle<br />
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