Download Exam #1 - Del Mar College

Math 1316 Trigonometry
Exam #1 Chapter 1
1. Convert decimal degrees to degrees , minutes, seconds, and convert degrees, minutes, seconds
to decimal degrees. Round to the nearest second or the nearest thousandth of a degree, as
appropriate.
a) 35°53 18
b) 108.78652°
2. Find two angles, one positive and one negative, that are coterminal to 117°.
3. Perform the calculations:
a) 65°35 19
22°25 38
72°38 55
b) 115°15 19
72°38 55
4. Find a) the complement and b) the supplement of 23°42 29 .
In problems 5-7, find the measure of each marked angle.
5.
6.
0
(6x+3)
(2x+61)0
7.
(x+1)0
(9x+12)0
(4x-56)0
(6x-51)0
(4x-3)0
8. Find the unknown side lengths x and y in this pair of similar triangles.
x
15
8
9
y
6
9. If a vertical antenna 45 ft tall casts a shadow 15 ft long, how long would the shadow of a 30-ft
pole be at the same time and place?
10. Identify the quadrant (or possible quadrants) of an angle
a) cot
0, sec
0
b) tan
that satisfies the given conditions.
0, cot
0
11. Sketch an angle in standard position such that the point 12
of . Find the values of the six trigonometric functions of .
5 is on the terminal side
12. The equation of the terminal side of an angle in standard position is 7
Sketch the angle and find the values of the six trigonometric functions of .
13. Find sin
given cos
14. Complete the table:
sin
5400
-2700
√
and tan
cos
Extra Credit:
Prove: The Pythagorean Identities:
a) sin
cos
1
b) tan
1 sec
c) cot
1 csc
3
0,
0.
tan
cot
sec
csc
0.