Converting
Trig functions
Vocabulary
Word problems
Misc
100
Write 255 degrees in radians.
(17pi)/2
100
Find the exact value of cos 300.
1/2
100
What does it mean for two angles to be coterminal?
They terminate in the same place.
100
A skateboard ramp has an angle of elevation of 15.7 degrees. Its vertical drop is 159 feet. Estimate the length of the ramp.
587.6 ft
100
Find the reference angle of 235 degrees.
55 degrees
200
Write (7pi)/4 in degrees
315 degrees
200
Find the exact value of cos 150.
- sqrt (3)/2
200
What is a reference angle?
The acute angle formed by the terminal side of theta and the x-axis.
200
Two sides of a triangular plot of land have lengths of 320 feet and 455 feet. The measure of the angle between those sides is 54.3 degrees. Find the perimeter of the plot.
about 1148.5 ft
200
Find the reference angle of -240 degrees.
60 degrees
300
Write pi/12 in degrees
15 degrees
300
Find the exact value of cos 3pi
-1
300
What is the period of a trig function?
Where the graph of the function repeats.
300
From the top of the cliff, a geologist spots a dry riverbed. The measurement of the angle of depression to the riverbed is 70 degrees. The cliff is 50 meters high. How far is the riverbed from the base of the cliff?
about 137 feet
300
If tan x = 1, find x
45 degrees
400
Write -210 degrees in radians.
-(7pi)/6
400
Find the exact value of tan 120
- sqrt 3
400
What is the amplitude of a trig function?
the absolute value of the max-y value plus the min-y value divided by two. (how high or low the function goes)
400
From a lookout point on a cliff above a lake, the angle of depression to a boat on the water is 12 degrees. The boat is 3 kilometers from the shore just below the cliff. What is the height of the cliff from the surface of the water to the lookout point?
about 0.64 kilometers
400
What is a quadrantal angle?
Any angle that terminates on either the x or y-axis. Ex: 90 degrees
500
Write -4pi in degrees.
-720 degrees
500
Find the exact value of sin (-150)
-1/2
500
What is a radian?
Another way of measuring an angle, in addition to degrees.
500
If each leaf of a drawbridge is 150 feet long, what is the minimum angle, to the nearest degree, that each leaf should open to allow a 90-foot-wide ship to pass?
about 78 degrees.
500
What is the amplitude of y = tan x?
Does not exist.