Download Precalculus Quiz 5-1 to 5-3

Trigonometry
6.1 – 6.3 Quiz Review
Name_______________________________________
degrees
0˚
30˚
45˚
radians
sin θ
cos θ
tan θ
Read the directions carefully.
1.) Convert the angle in degrees to radians. Express the answer as a multiple of π.
a.) 60
b.) –120°
2.) Convert the angle in radians to degrees.
a.)
4
3
b.) 
2
3
3.) Change into a decimal value rounded to three places.
a.) 61 42’ 21”
b.) 73 40’ 40”
4.) Change into degrees, minutes, seconds.
a.) 61.24
b.) 29.411
5.) Give the angle measure represented by the rotation in degrees and radians.
a.) 1.5 rotations counterclockwise
b.) 3.75 rotations clockwise
60˚
90˚
Trigonometry
6.1 – 6.3 Quiz Review
6.) Find the coterminal angles that are between 0 ≤ x < 360, or 0 ≤ x < 2π.
a.)
655
b.)
− 520
c.)
14
5
7.) Find the reference angle.
a.)
177
c.)

d.)
b.)
6
7
d.)
11
3
−33

4
5
8.) In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact
value of the six trigonometric functions of t.

5 2
P   
,  
3
 3
sin t = ______
csct = ______
cost = ______
sect = ______
tan t = ______
cot t = ______
9.) Find an equivalent trigonometric expression using a reference angle and the correct sign.
For example, tan 315   tan 45 . Then find the exact value.
a.) sin 210
d.) sin
4
3
b.) cos330
d.) cos
5
6
c.) csc135
e.) csc

3
Trigonometry
6.1 – 6.3 Quiz Review
10.) Find the exact value.
a.) sin 2


 cos 2
7
7
b.) tan10 cot10
11.) Find the six trigonometric functions of the angle, θ, in standard position if the terminal side of the angle passes
through the point ( 8 , –15 ).
12.) If sin   
sin  = ______
csc = ______
cos = ______
sec = ______
tan  = ______
cot  = ______
5
and is in Quadrant III, find the remaining five trigonometric functions.
13
5
sin   
13
csc = ______
cos = ______
sec = ______
tan  = ______
cot  = ______