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Unit Circle Returns
Law of Sines
Trigonometric Equations
Area
Word Problems
100
What is sine of 0pi?
What is 0?
100
What types of triangles can Law of Sines solve? 
What are ASA, SSA, and AAS? 
100

Give the quadrant for which tan x > 0 and sec < 0. 

What is Quadrant III? 

100
Find the area of the triangle with A=64 degrees, b=18, and c=10 to the nearest tenth. 
What is 80.9?
100

A safety regulation states that the maximum angle of elevation for a rescue ladder is 72 degrees. A fire department's longest ladder is 110 feet. What is the maximum safe rescue height? 

What is 104.6 degrees?

200
Find the cosine of pi/3. 
What is 1/2? 
200

How many triangles can have Z = 134 degrees, z = 33, and x = 38?

What are 0 triangles? 

200

Give three angles for which sin x = 1/2. 

What are pi/6, 5pi/6, 13pi/6...etc?

200

Find the area of a triangle with u = 53m, g =43m, and h = 72m to the nearest hundredth. Include units.  

What is 1131.89 meters^2? 

200
A parking lot has the shape of a parallelogram. The lengths of two adjacent sides are 70 meters and 100 meters. The angle between the two sides is 70 degrees. What is the area of the parking lot to the nearest whole number?
What is 6578 meters^2? 
300
Find the tangent of 36pi. 
What is 0? 
300

Find angle A if B=55 degrees, a=22, c=34.

What is 40 degrees?

300

Solve 3tan2x - 1 = 0 on the interval [0, pi). Then, write the general solutions. 

What are pi/6 and 5pi/6 + pi*n?

300

Find the area of the triangle with p = 11 ft, a = 4 ft, and angle C = 30 degrees. Include units. No calculator.

What is 11 ft^2?

300
Raleigh, Durham, and Chapel Hill are three Cities in NC that form what is known as the research triangle. It is about 18 miles from Raleigh to Durham, 23 miles from Raleigh to Chapel Hill and 8 miles from Chapel Hill to Durham. Find the area of the research triangle.
What is 62.8 square miles?
400
Find the cosecant of 19pi/6. 
What is -2?
400

Solve for triangle ABC if A=49, b=15, c=25.

What is B=37 degrees, C=94 degrees, a=18.9.

400

Find all solutions of 2cos2x - cosx - 1 = 0 in the interval [0, 2pi). Then, write the general solutions. 

What are 2pi/3, 4pi/3, and 0pi + 2pi*n?

400

Find the area of the parallelogram with sides b = 9m, c = 12m, and angle A = pi/5 radians to the nearest hundredth. Include units. 

What is 63.48 meters^2? 

400

From a point on the ground, the angle of elevation to the top of a tree is 24 degrees. From a point 34 feet closer the angle of elevation is 45 degrees. What is the height of the tree?

What is 27.3 feet?

500
Find the solutions of cos(3x) = -sqrt(2)/2 in the interval [0, pi]. 
What are 3pi/12, 5pi/12, and 11pi/12? 
500
Solve for BOTH triangles given A = 44 degrees, a = 28, c = 34. Round to the nearest tenth. 
What are Triangle 1: B = 78 degrees, C = 58 degrees, b=39.4 

Triangle 2: B = 14 degrees, C = 122 degrees, b = 9.8

500
Find all solutions of 2sin2x + 3cosx - 3 = 0 in the interval [0, 2pi). 

What are pi/3, 5pi/3, and 0pi + 2pi*n?

500
Use the area to find the altitude drawn from Angle A of triangle ABC if a=30, b=32, c=42. 
What is 31.9?
500

You travel due north for 88 miles. You then change your course and travel on a course that is 22 degrees south of west for another 40 miles. At this time, how far are you from your original position?

What is 81.9 miles?