INTEGRATED TRIGONOMETRY
FALL SEMESTER EXAM REVIEW #3
NAME______PERIOD______DATE______
Find each power. Express the result in rectangular form.
1. 1.______
2. 2.______
Solve each triangle. Round to the nearest tenth.
3. 3.a=______
B=______
C=______
4. 4.b=______
A=______
C=______
5. 4. 5.c=______
A=______
B=______
Find the area of each triangle. Round to the nearest tenth.
6. 6.______
7. 7.______
8. The longest truck-mounted ladder used by the Dallas Fire Department is 108 feet long and consists of four hydraulic sections. Gerald Travis, aerial expert for the department, indicates that the optimum operating angle of this ladder is . The fire fighters find they need to reach the roof of an 84-foot burning building. Assume the ladder is mounted 8 feet above the ground.
a. Draw a labeled diagram of the situation.
b. How far from the building should the base of the ladder be placed to achieve the optimum operating angle?
8b.______
c. How far should the ladder be extended to reach the roof?
8c.______
9. When a 757 passenger jet begins its descent to the Ronald Reagan International Airport in Washington, D.C., it is 3900 feet from the ground. Its angle of descent is .
a. What is the plane’s ground distance to the airport? 9a.______
b. How far must the plane fly to reach the runway? 9b.______
Simplify the expression.
10. 10.______
Use the unit circle to find each value. 11.______
12.______
11. 12. 13. 13.______
14. 15. 16. 14.______
15.______
16.______
Find the values of sine, cosine, and tangent for each .
17.
17. Sin=______Cos=______
Tan=______
Find the values of the six trigonometric functions for angle in standard position if a point with the given coordinates lies on its terminal side.
18. 18. Sin=______Cos=______
Tan=______
Csc=______Sec=______
Cot=______
Solve each equation if
19. 20. 19.______
20.______
Find each value.
21. 22. 23. 21.______
22.______
23.______
Change each degree measure to radian measure in terms .
24. 25. 26. 24.______
25.______
26.______
Change each radian measure to degree measure. Round to the nearest tenth.
27. 28. 29. 27.______
28.______
29.______