TRIGONOMETRY REVIEW
(Prerequisite Skills)
A.
THE TRIGONOMETRIC RATIOS
SOH CAH TOA
r
y

x
1. State the primary trig ratios for  in terms of x, y, and r.
2. State a relationship between the sides of the triangle.
Name this theorem: ________________________________________
B.
THE SPECIAL TRIANGLES & CAST RULE
60o
45o
45o
Label the sides!!
30o
CAST RULE:
1. State the exact value of each of the following:
a) sin60o
b) tan45o
c) cos30o
d) sin135o
e) tan120o
f) cos150o
S
A
T
C
C.
THE SINE LAW
State the Sine Law for ABC:
A
b
c
a
B
C
1. Determine the unknown side, rounded to 1 decimal place:
126cm
115o
x
28o
D.
THE COSINE LAW
State the Cosine Law for ABC:
A
b
c
a
B
C
1. Determine the unknown side, rounded to 1 decimal place, or angle, rounded to
the nearest degree:
x
8cm
50o
7cm
5cm
8cm

7cm
E.
SOLUTION OF TRIANGLES
Determine the indicated side, rounded to 1 decimal place, or angle, rounded to the
nearest degree, in each of the following:
1.

x
38o
120cm
2.

115cm
90cm
y
3.
41o
z
15cm
68o

4.
9o
15cm
24cm

m
ANSWERS:
1.
2.
3.
4.
x = 93.8cm
y = 71.6cm
z = 14.7cm
m = 9.5cm
 = 52o
 = 38o
 = 71o
 = 157o