Unit 5 Trigonometry Test, Part 1 – Study Guide
Determine the quadrant in which the angle’s value lies.
1.
20
6
2. 516°
Convert the following. If the given angle is in radians, express your answer in degrees. If
the given angle is in degrees, express your answer in radians.
3.

3
4. 195
5.
7
24
6. 310
Evaluate using the unit circle. Keep answers exact, and simplify your answer completely.
7 . sin 330o
8. tan (π/6)
9. Sec 330o
10. cos (-225o)
11. Convert from decimal degrees to degrees, minutes, seconds (DMS): 134.57 degrees
12. Convert from DMS to decimal degrees: 85 degrees 45 minutes 51 seconds.
13. A square has a diagonal of 56 feet. What is the area of this square? Leave answer in
simplified radical form.
14. A ramp is at an angle of elevation of 27 degrees. The length of the ramp is 55 meters.
What is the distance from the top of the slope to the ground?
15. A jeep leaves its present location and travels along bearing N62°W for 29 miles. How
far north and west of its original position is it?
16. An airplane leaves an airport and travels due west for 310 miles. It then heads due
south for 450 miles. From its current position, along what heading should it travel to
reach the airport and how far is it?
17. From a window in building A, I observe the top of building B across the 75 foot wide
street at an angle of elevation of 65°. I observe the base of building B at an angle of
depression of 42° . Find the height of building B.
.
18. Using f ( x)  7 sin( 3x  5)  4 identify the function’s amplitude, period, phase shift
and vertical shift.