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Chapter 12 Trig Part 1

Total questions: 37

Worksheet time: 2hrs 38mins

Name
Class
Date
1.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
2.
Find x.
a)
90°
b)
45°
c)
30°
d)
60°
3.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
4.
Find the value of y.
a)
7
b)
7√3
c)
14√3
d)
(14√3)/3
5.
Find the value of y.
a)
9
b)
18√2
c)
9√2
d)
(9√2)/2
6.
a)
18/30
b)
24/30
c)
18/24
d)
24/18
7.
a)
A
b)
B
c)
C
d)
D
8.
a)
A
b)
B
c)
C
d)
D
9.
a)
A
b)
B
c)
C
d)
D
10.
 Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
11.

What is the correct equation to solve for x ?

a)

tan( 46 ) = 17/x

b)

sin ( 46 ) = x/17

c)

tan (46 ) = x/17

d)

cos (46) = x/17

12.

Identify the trig ratio that may be used to find the marked unknown side.

a)

Sin 38°=w15Sin\ 38\degree=\frac{w}{15}

b)

Cos 38° = 15wCos\ 38\degree\ =\ \frac{15}{w}

c)

Tan 38° = w15Tan\ 38\degree\ =\ \frac{w}{15}

d)

Sin 38°= 15wSin\ 38\degree=\ \frac{15}{w}

13.

Determine the sine value of the given angle

a)

1517\frac{15}{17}

b)

−817-\frac{8}{17}

c)

15−8\frac{15}{-8}

d)

1512\frac{15}{12}

14.

Find a coterminal angle to 45°.

a)

360°

b)

405°

c)

315°

d)

295°

15.

In which quadrant would you find an angle measuring -740°

a)

1

b)

2

c)

3

d)

4

16.

What are the negative and positive coterminal angles of 240°?

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

17.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

18.

What is the reference angle for -30°?

a)

150°

b)

30°

c)

80°

d)

60°

19.
Find the reference angle for an angle measuring -310⁰
a)
50⁰
b)
-50⁰
c)
20⁰
d)
40⁰
20.

Let (12,-5) be a point on the terminal side of θ.

What is Cos ø?

a)

13/12

b)

12/13

c)

-5/13

d)

-5/12

21.

let (-3,-3) be a point on the terminal side of θ.

What is cot θ?

a)

1

b)

2

c)

3

d)

Not me

22.
sec 3π/2
a)
0
b)
undefined
c)
1
d)
-1
23.
tan 7π/4
a)
-1
b)
1
c)
√2/2
d)
undefined
24.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
25.
sin 7π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
26.
What is the radius of a unit circle?
a)
1
b)
2
c)
1/2
d)
0
27.

cos 150o

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

28.
What is 5π/6 radians in degrees?
a)
180
b)
150
c)
360
d)
120
29.

Convert 510o to Radians

a)

25π / 3

b)

23π / 8

c)

17π / 6

d)

51π / 8

30.
Use the Law of Sines to solve for BC
a)
33
b)
24
c)
12
d)
29
31.
Find AC
a)
12
b)
10
c)
23
d)
14
32.

Find angle Z

a)

20.15°

b)

71.23°

c)

51.06°

d)

57.71°

33.
Find QR
a)
34.7 km
b)
2.2 km
c)
13.74
d)
31.1 km
34.
Solve each triangle, round to the nearest tenth.
a)
angle H= 15°, f= 55.5, g= 64.5
b)
angle H= 113° f= 55.5, g= 64.5
c)
angle H= 53°, f= 64.5, g= 55.5
d)
angle H=15°, g= 65, f= 56
35.

If the sides of a triangle are 8, 8, and 8, what is the area?

a)

8

b)

15.58

c)

27.71

d)

62.91

36.

Find the area of the triangle. Round your answer to 1 decimal place..

a)

16.8 cm2

b)

15.7 cm2

c)

11.5 cm2

d)

11.4 cm2

37.

Find the area of the triangle. Hint: You will need to use the Law of Cosines to find one of the angles.

a)

7.32

b)

7.75

c)

22.37

d)

26.91