Regular Trig
Inverse Trig
Evaluating / Solving
Inverse Potpourri
Applications
100
arcsin (1/2)
What is 30 degrees?
100
arccos (1/2)
What is 60 degrees?
100

Find arctan (0.5)

What is 26.6 degrees?

100

It has a domain of {x | -π/2 ≤ x ≤ π/2}

and a range of {y | -1 ≤ y ≤ 1}

What is Sin(x)?

100
A ship travels 30 degrees east of north for 20 nautical miles. Find how much easterly progress the ship has made.
What is 10 nautical miles?
200
arcsin(3/4)
What is 48.6 degrees?
200
arccos (√3/2)
What is 30 degrees?
200
arctan (√3)
What is 60 degrees?
200

It has a domain of {x | 0 ≤ x ≤ 180o}

and a range of {y | -1 ≤ y ≤ 1}

What is Cos(x)

200
Cedar Street and Main Street split near fifth avenue. You can travel 2500 feet down Cedar and turn onto Division (assume right angle). If you travel 700 feet on Division, you will intersect Main Street. Find the measure of the angle between Cedar Street and Main Street.
What is 15.6 degrees?
300
arcsin (.33)
What is 19.3 degrees?
300
ΔABC is a right triangle. The right angle lies at ∠B. AB= 6. BC= 8. CA= 10. Find the measure of ∠A.
What is 53.1 degrees?
300
arctan (1)
What is 45 degrees?
300

cos(Θ)= -sqrt(3)/2. Find sin(Θ).

What is 1/2?

300
From the trailhead to Scotchman Peak there is roughly 1 mile horizontally. The different in elevation is about 3500 feet. Find the average slope of the mountainside. (1 mile= 5280 feet)
What is 33.5 degrees?
400
cos(Θ) = 4/5. Find the value of sin(Θ).
What is 3/5?
400
Evaluate cos (arccos(.6))
What is 0.6?
400
sin(Θ)= 5/13. cos(Θ)=12/13. tan(Θ)= 5/12. Find m∠Θ.
What is 22.6 degrees?
400

State concisely in words what the question is asking:

cos-1(-1/2)

What is: The angle such that cosine of theta gives you a value of -1/2.

400
The base of the Quad sits at approximately 4800 feet. The peak lies at 6400 feet. The peak and base lie 3000 feet apart horizontally. Find the angle of elevation of the Quad. (Hint: draw a triangle)
What is 28.1 degrees?
500
A ship travels 5 miles due north. It then turns 90 degrees and travels 12 miles east. It then turns Θ degrees and travels 13 miles back to its starting point. Find the measure of angle Θ.
What is 22.6 degrees?
500
Find arccos (sin(30))
What is 60 degrees?
500
A farmer drives his tractor due north 100 meters, then turns east and drives 50 meters. His wife is standing at the original starting position. Find the angle east of due north that the farmer appears to his wife.
What is 26.6 degrees east of north?
500

tan(x) = sqrt(3)/3. Find the x-value.

What is π/6?

500
A ship travels 40 degrees east of north in a straight line for 600 miles. If 1 degree of latitude is equivalent to a change of 69 miles in the north/south direction, find the change in latitude from the ship's start point to endpoint.
What is 6.7 degrees latitude?
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