MAT & Trig
2.1 – 2.2 Quiz Review
Section 2.1:
Mathematician:
02.06.17
Cofunctions & Special Right Triangles (30-60-90 & 45-45-90)
Write each function in terms of its cofunction.
1)
cos (54o) =
2)
sec (29o) =
3)
tan ( θ o) =
4)
sin (40 - θ o) =
Fill in the following statements.
5)
Cot is a cofunction of
.
6)
Cos is a reciprocal of
.
7)
Csc is a reciprocal of
.
8)
Sec is a cofunction of
.
9)
Fill in the appropriate trig ratios. (Make sure consider what angle I am asking about!)
4
A
C
5
3
sin A =
cos B =
cot B =
sec A =
B
10)
Fill in the following chart with the information given.
θ
sin θ
30°
1
2
45°
60°
cos θ
tan θ
cot θ
csc θ
3
1
1
2
3
2
sec θ
2
1
2
Use the chart above to decide whether each statement is true or false.
11)
sin 30° + cos=
60° tan 45°
12)
2cos2=
45° cos30° − sin 60°
Section 2.2:
Reference Angles
Find the reference angle for each of the following.
13)
300o
14)
480o
15)
930o
16)
-675o
17)
Match each angle in column I with its reference angle in column II.
Choices may be used once, more than once, or not at all.
Column I – Original Angle
315o
420o
-210o
-150o
Column II – Reference Angle
A.
30o
B.
45o
C.
60o
D.
75o
Find the exact values of the following trig functions for each angle.
18)
sin (225o) = _____
Reference Angle =
Quadrant = _____
cos (225o) = _____
tan (225o) = _____
Find the exact values of the following trig functions for each angle.
19)
sin (-390o) = _____
cos (-390o) = _____
tan (-390o) = _____
Reference Angle =
Quadrant = _____