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

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Question 1
1.

Evaluate: cot(5\pi/9)

Question 2
2.

Evaluate: csc(212\degree)

Question 3
3.

What angle is co-terminal to 30\degree

Question 4
4.

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

Question 5
5.

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

Question 6
6.

The cosine of 270\degree angle is?

Question 7
7.

The sine of 270\degree angle is?

Question 8
8.

Evaluate tan(7.8\degree)

Question 9
9.

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

Question 10
10.

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

Question 11
11.

How would you set it up?

Question 12
12.

Convert 90\degree to radians.

Question 13
13.

Convert 180\degree to radians.

Question 14
14.

Convert 114\degree to radians.

Question 15
15.

Convert 27\degree to radians.

Question 16
16.

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

Question 17
17.

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

Question 18
18.

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

Question 19
19.

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

Question 20
20.
Evaluate each of the following trig functions if the terminal side of angle \theta in standard position passes through point (5,-3). Leave in reduced and rationalized fraction.

sin\theta=_______
cos\theta=_______
cot\theta=_______
Question 21
21.

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

Question 22
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?

Question 23
23.
Solve for the missing sides and angles. Round your answer to the nearest hundredth.
m\angle{A}=_______
side{AB}=_______
side{CB}=_______
Question 24
24.

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

cos(30°)

Question 25
25.

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

sin(-210°)

Question 26
26.

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

csc(90°)

Question 27
27.

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

tan(120°)

Question 28
28.
Find all possible values of θ between 0≤θ≤360°.

tan(-1)

list them from smallest to largest
_______ and _______
Question 29
29.

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

sin(1)

Question 30
30.
Find all possible values of θ between 0≤θ≤360°.

cos(\frac{\sqrt{3}}{2})

list them from smallest to largest
_______ and_______
Question 31
31.

sinx•secx

Question 32
32.

sinx•cotx

Question 33
33.

sinx(cscx-sinx)

Question 34
34.

tanxcotx-cos^{2}x

Question 35
35.

secx•cotx•sinx

Question 36
36.

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

Question 37
37.

\frac{1+tan^{2}x}{cscx•secx}

Question 38
38.

sinx•cosx•cotx+3cos^{2}x