Download Day 2 Trig HW

Geometry
Trig Ratio HOMEWORK
Name: __________________________
The Sine Ratio (sin)
Opposite
sin  
Hypotenuse
The Cosine Ratio (cos)
Adjacent
cos  
Hypotenuse
The Tangent Ratio (tan)
Opposite
tan  
Adjacent
1. Match the following.
a) _______ Opposite Leg to A
C
b) _______ Sine Ratio of C
c) _______ Opposite Angle to AB
B
A
d) _______ The Hypotenuse
1. A
e) _______ Adjacent Leg to A
7.
BC
AC
8.
AB
AC
9.
BC
AB
2. B
f) _______ Tangent Ratio of C
BC
g) _______ Reference angle if
is the Cosine Ratio.
AC
h) _______ Adjacent Leg to C
3. C
4. AB
i) ________ Cosine Ratio of A
5. BC
j) ________ The Longest Side
BC
is the Sine Ratio.
AC
k) _______ Reference angle if
10.
6. AC
AB
BC
2. Label the sides based of the triangle using the reference angle: (O) for Opposite, (A) for Adjacent and
(H) for Hypotenuse. After you have labeled the triangle, then choose which trigonometric ratio that you
would use to solve for the missing info.
a)
b)
c)
C
12 cm
x
29 cm
B
30°
C
A
A
B
x
d)
13°
A
21 cm
25 cm
B
θ
θ
C
34 cm
C
B
A
SIN
COS
TAN
e)
SIN
COS
TAN
f)
C
B
x
66°
SIN
COS
TAN
g)
A
18 cm
67°
12 cm
8 cm
B
B
x
x
C
A
TAN
SIN
COS
TAN
SIN
COS
TAN
63°
34 cm
B
COS
TAN
35°
C
A
SIN
COS
h)
C
x
SIN
25 cm
SIN
COS
A
TAN
3. Solve for the side x. (Round all final answers to 2 decimals places)
a)
b)
c)
d)
x
50°
x
x
28°
11 cm 41°
21 cm
x ≈ ____________
8 cm
53°
x ≈ ____________
30 cm
x
x ≈ ____________
x ≈ ____________
4. Solve for the side x. (Round all final answers to 2 decimals places)
a)
b)
x
c)
d)
x
62°
18 cm
34°
x
12 cm
48°
6 cm
33°
x
24 cm
x ≈ ____________
x ≈ ____________
x ≈ ____________
x ≈ ____________