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MAT188_Spring Final 2024-2025

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Last updated 27 days ago
28 questions
TOPIC I: Circular Function
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TOPIC 2: Trigonometric Function I
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3
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TOPIC III: Trigonometric Function II
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TOPIC IV: Introduction to VECTOR
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Question 1
1.

Question 2
2.

Question 3
3.

Question 4
4.

Question 5
5.

Question 6
6.
If N(-7, -1) is a point on the terminal side of θ in standard form, find the exact values of the trigonometric functions of θ.
Sinθ = _______ Cscθ = _______
Cosθ =_______ Secθ = _______
tanθ = _______ Cotθ= _______
Question 7
7.

Question 8
8.

Question 9
9.
Solve the triangle below. Round all answers to the nearest tenth.
_______
_______

QS = _______



Question 10
10.

Question 11
11.

Question 12
12.

Question 13
13.

Draggable itemarrow_right_altCorresponding Item
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Question 14
14.

Question 15
15.

Identify
Hint: Use Sum/Difference Identities

Question 16
16.

Question 17
17.
Use the Pythagorean Theorem Identities.
_______
Question 18
18.
Use the Reciprocal and Quotient Identities:

_______
Question 19
19.
Use the Double-Angle Identities to find the exact value.


_______
Question 20
20.
Rewrite as a product:


_______
Question 21
21.

Use Sum/Difference Identities

Question 22
22.
Use the Sum and Difference of Angles Identities to find the exact value.

_______
Question 23
23.
For vector,

give its
(a) component form, _______
(b) magnitude, _______
(c) direction angle. _______
Question 24
24.

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Question 28
28.

A fireman spots a stranded woman in the window of a 200-foot tall office building. From the point where the fireman is standing, the angle of elevation to the stranded woman is 42° 33’ and to the top of the building is 58 ° 6’. How far from the ground is the stranded woman?
108.8 feet
121.1 feet
124.5 feet
114.3 feet
Convert in D-M-S form.

None of these
Convert to decimal degree form.

39.6 degrees
None of these
37.6 degrees
38.6 degrees
The area of a sector of a circle with central angle of 240 degrees is 134 sq ft. Find the radius of circle.
4 ft
8ft
64ft
16ft
A 16-inch diameter tire on a car is making 500 revolutions per minute. Find the linear speed of the tire in miles per hour.
~23.8in/sec
~8000 mi/hr
~23.8 in/hr
~23.8mi/hr
Give the exact value of each trigonometric function.

Give the exact value of each trigonometric function.

In ΔABC, m∠C = 73°, AB = 20 km, and AC = 29 km. Find m∠B.
Not possible
Philadelphia, Pennsylvania is 415 miles directly east of Columbus, Ohio. The bearing from Columbus to Richmond, Virginia is S 60° E. The bearing from Philadelphia to Richmond is S 34° W. Find the distance from Columbus to Richmond to the nearest mile.
314miles
321miles
332miles
345miles
A triangular parking lot has sides measuring 90 meters, 54 meters, and 128 meters. Use Heron’s Formula to find the area of the parking lot.
Identify the amplitude, period, translations, and midline of the function.

Vertical Shift
undefined
Phase Shift
Amplitude
Midline
1
period
y=1
Give the exact value, if it exists.

Simplify
Which of the following is a scalar quantity?
Temperature measured in degrees Celsius.
Acceleration of a falling object.
Velocity of a moving car.
Displacement in a straight line.
Force applied to an object.
Question 25
25.

Question 26
26.

Question 27
27.

Which of the following represents a vector quantity?
Speed
Distance
Time
Velocity
Use the graph below to classify each pair of vectors.
Equivalent
Parallel
None
Opposite
Use the graph below to classify each pair of vectors.
Parallel
None
Opposite
Equivalent
Use the graph below to classify each pair of vectors.
Parallel
Equivalent
Opposite
None