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Biblioteka

MAT188_Spring Final 2024-2025

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Posljednje ažuriranje 3 months ago
28
TOPIC I: Circular Function
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TOPIC 2: Trigonometric Function I
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TOPIC III: Trigonometric Function II
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TOPIC IV: Introduction to VECTOR
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Pitanje 1
1.

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?

Pitanje 2
2.

Convert in D-M-S form.

Pitanje 3
3.

Convert to decimal degree form.

Pitanje 4
4.

The area of a sector of a circle with central angle of 240 degrees is 134 sq ft. Find the radius of circle.

Pitanje 5
5.

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.

Pitanje 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=

Pitanje 7
7.

Give the exact value of each trigonometric function.

Pitanje 8
8.

Give the exact value of each trigonometric function.

Pitanje 9
9.

Solve the triangle below. Round all answers to the nearest tenth.

QS =

Pitanje 10
10.

In ΔABC, m∠C = 73°, AB = 20 km, and AC = 29 km. Find m∠B.

Pitanje 11
11.

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.

Pitanje 12
12.

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.

Pitanje 13
13.

Identify the amplitude, period, translations, and midline of the function.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

Vertical Shift

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undefined

Phase Shift

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Amplitude

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Midline

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1

period

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y=1

Pitanje 14
14.

Give the exact value, if it exists.

Pitanje 15
15.

Identify

Hint: Use Sum/Difference Identities

Pitanje 16
16.

Simplify

Pitanje 17
17.

Use the Pythagorean Theorem Identities.

Pitanje 18
18.

Use the Reciprocal and Quotient Identities:

Pitanje 19
19.

Use the Double-Angle Identities to find the exact value.

Pitanje 20
20.

Rewrite as a product:

Pitanje 21
21.

Use Sum/Difference Identities

Pitanje 22
22.

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

Pitanje 23
23.

For vector,

give its

(a) component form,

(b) magnitude,

(c) direction angle.

Pitanje 24
24.

Which of the following is a scalar quantity?

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Pitanje 25
25.

Use the graph below to classify each pair of vectors.

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Pitanje 28
28.

Which of the following represents a vector quantity?

Pitanje 26
26.

Use the graph below to classify each pair of vectors.

Pitanje 27
27.

Use the graph below to classify each pair of vectors.