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Laabri

Unit 5 Optional Review: Trigonometric Functions and Representations (Bartels M3H)

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1.

Evaluate: cot(5\pi/9)

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2.

Evaluate: csc(212\degree)

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3.

What angle is co-terminal to 30\degree

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4.

What angle is quadrant II would have a reference angle of 55\degree

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5.

What quadrant would the terminal side of 285\degree angle fall in?

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6.

The cosine of 270\degree angle is?

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7.

The sine of 270\degree angle is?

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8.

Evaluate tan(7.8\degree)

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9.

Find the measurement of \theta if csc\theta=4/3

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10.

Would you use law of sines or law of cosines to solve for the missing side?

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11.

How would you set it up?

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12.

Convert 90\degree to radians.

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13.

Convert 180\degree to radians.

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14.

Convert 114\degree to radians.

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15.

Convert 27\degree to radians.

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16.

Convert the angle \frac{\pi}{4} radians to degrees.

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17.

Convert \frac{5\pi}{6} radians to degrees.

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18.

Convert \frac{7\pi}{3} radians to degrees.

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19.

Convert \frac{5\pi}{3} radians to degrees.

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20.
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21.

If cos\theta={\frac{5}{13}} and 0<\theta<\frac{\pi}{2}. Find tan\theta

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22.

From a hot air balloon 2,500ft above the ground, you see a clearing whose angle of depression is 25\degree.  to the nearest foot, what is your horizontal distance from the clearing?

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23.
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24.

Evaluate each of the following trigonometric functions at the given angle.

cos(30°)

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25.

Evaluate each of the following trigonometric functions at the given angle.

sin(-210°)

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26.

Evaluate each of the following trigonometric functions at the given angle.

csc(90°)

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27.

Evaluate each of the following trigonometric functions at the given angle.

tan(120°)

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28.
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29.

Find all possible values of θ between 0≤θ≤360°.

sin(1)

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30.
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31.

sinx•secx

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32.

sinx•cotx

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33.

sinx(cscx-sinx)

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34.

tanxcotx-cos^{2}x

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35.

secx•cotx•sinx

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36.

\frac{sin^{2}x+cos^{2}x}{sinxcosx}

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37.

\frac{1+tan^{2}x}{cscx•secx}

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38.

sinx•cosx•cotx+3cos^{2}x