Download Part 1: Multiple Choice. Place the correct answer in the space

Math 2200
Unit 1 Trigonometry Assignment
Name:______________
Part 1: Multiple Choice. Place the correct answer in the space provided. (20 marks)
1.
What are the three other angles in standard position that have a reference angle of 54°? _____
A) 99º, 144º, 234º
2.
The tangent ratio is positive in quadrants:
A) III and I
3.
B) II and IV
B) 70
C) III and VI
D) II and III
_____
C) 110
D) 250
What is the exact value of sin 240 ?
A)  23
5.
_____
What is the reference angle for 250 ?
A) 20
4.
B) 108º, 162º, 216º C) 144º, 234º, 324º D) 126º, 234º, 306º
_____
2
If the point
D) 1
C)  12
B)  1
24, 7 lies on the terminal arm of an angle, , in standard position, what
is the exact value of sin ?
A)
6.
B)
25
24
Solve tan
7
25
7
D) 25
360 .
B)120°, 300°
_____
C) 120°, 240°
D) 60°, 300°
If cos θ = 0.6537, one value of  is 49°. What is another value of  ?
A) -49°
8.
C)
24
25
3 , where 0
A) 240°, 300°
7.
_____
B) 41°
C) 311°
_____
D) 221°
Find the measure of the missing angle to the nearest degree.
_____
18
65
13.5
A) 25°
9.
B) 43°
C) 47°
D) 65°
Find the value of x in the diagram below.
_____
15
x
126
12
A) 12.5
B) 24.1
C) 19.2
D) 8.8
Math 2200
10.
Unit 1 Trigonometry Assignment
Triangle ABC has the following values <A =
Name:______________
, a = 6.3 cm and b = 5.9 cm. How many possible
triangles can be constructed?
A) none
B) one
_____
C) two
D) three
Part B: Constructed Response. Answer all questions. Show all workings for full marks.
1.
The point (2, -4) lies on the terminal arm of an angle, θ, in standard position.
A) Determine the exact values of sin θ, cos θ and tanθ , in reduced form.
B) Determine the value of then angle θ.
2.
The angle θ, in standard position, has sin θ =
A)
and has tan θ > 0.
Sketch the angle and the reference triangle, including the lengths of the sides of the
reference triangle.
3.
B)
Determine the exact value of cosθ and tan θ, in lowest terms.
C)
What is the measure of the reference angle?
Solve for θ, where 0 ≤ θ ≤ 360
A)
tan θ = -2.8995
B)
cos θ = -0.1234
Math 2200
4.
Unit 1 Trigonometry Assignment
Name:______________
A golfer played his tee shot a distance of 220m to a point A. He then played a 165m six iron to the green.
If the distance from the tee to the green is 340m, determine the number of degrees the golfer was off
line with his tee shot. Round your answer to the nearest degree.
A
165 m
G
220 m
340 m
T
5.
A telegraph pole casts a shadow of 10 m long when the angle of elevation of the sun is 63°. The
pole leans 75° from the ground, directly towards the sun. Find the length of the pole. Round your
answer to the nearest tenth of a metre.
Formulas
or
cos A =