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Laabri

MAT188_Spring Final 2024-2025

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28 Nsɛmmisa
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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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?

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2.

Convert in D-M-S form.

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3.

Convert to decimal degree form.

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4.

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

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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.

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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=

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7.

Give the exact value of each trigonometric function.

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8.

Give the exact value of each trigonometric function.

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9.

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

QS =

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10.

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

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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.

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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.

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13.

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

Draggable itemarrow_right_altCorresponding Item

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

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14.

Give the exact value, if it exists.

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15.

Identify

Hint: Use Sum/Difference Identities

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16.

Simplify

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17.

Use the Pythagorean Theorem Identities.

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18.

Use the Reciprocal and Quotient Identities:

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19.

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

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20.

Rewrite as a product:

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21.

Use Sum/Difference Identities

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22.

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

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23.

For vector,

give its

(a) component form,

(b) magnitude,

(c) direction angle.

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24.

Which of the following is a scalar quantity?

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25.

Use the graph below to classify each pair of vectors.

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28.

Which of the following represents a vector quantity?

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26.

Use the graph below to classify each pair of vectors.

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27.

Use the graph below to classify each pair of vectors.