Radians & Degrees
Unit Circle
Graphs
Applications
Properties
100
What is the co-terminal and reference angle for 127 degrees?
Co-terminal: -233 degrees
Reference: 53 degrees
100
Which trig functions are negative in the 2nd quadrant?
Cosine, Secant, Tangent, Cotangent
100
What is the restricted domain of tangent that allows for the creation of the inverse tangent function?
(-pi/2,pi/2)
100
A ladder that is 20 ft. long is leaning against the side of a building. If the angle formed between the ladder and the ground is 75 degrees, how far is the bottom of the ladder from the base of the building? Round to the nearest tenth of a foot.
20cos(75^o)~~5.2 ft
100
Finish the following reciprocal identity:
sec(theta)=
1/cos(theta)
200
Change the following to degrees:
(5pi)/4
225^o
200
What would the following angle be equivalent to on the Unit Circle?
(-23pi)/4
pi/4
200
The _______ of cosine match up with the ______ of secant.
(there are 3 acceptable answers here)
max's/min's......min's/max's.....xint's/VA's
200
Find the shadow cast by a 10 foot lamp post when the angle of elevation of the sun is 58º. Find the length to the nearest tenth of a foot.
x=10/(tan58^o)~~6.2 ft
200
Finish the following modified quotient identity:
cot(theta)=?/sec(theta)
csc(theta)
300
Change the following degrees into radians:
150^o
(5pi)/6
300
Evaluate:
cot((2pi)/3)
-sqrt3/3
300
Give the domain and range of cotangent.
Domain:
x!=pik....k=ZZ
Range:
RR
300
A straight waterslide is 175 feet above ground and is 200 feet long. What is the angle of depression to the bottom of the slide? Round to the nearest degree.
arcsin(175/200)~~61^o
300
What is the Pythagorean property that contains tangent?
1+tan^2(theta)=sec^2(theta)
400
Change from decimal degrees to DMS:
85.678^o
85° 40' 40.8"
400
Evaluate:
sec(495^o)
-sqrt2
400
What is the equation of the following trig graph? There are two possible answers.
y=2cos(2x) or y=2sin(2x+pi/2)
400
Brothers Bob and Tom buy a tent that has a center pole 6.25 feet high. If the sides of the tent are supposed to make a 50° angle with the ground, how wide is the tent? Round to the nearest tenth of a foot.
(6.25/tan(50^0))*2~~10.5 ft
400
Find the exact value of the following expression without using a calculator:
csc(380^o)*sin(20^o)
1
500
How many degrees is one radian?
57.3^o
500
Evaluate:
arctan(-sqrt3/3)
(11pi)/6 or 330^o
(5pi)/6 or 150^o
500
What is the equation of the following trig graph? There are two possible answers.
y=-csc(1/2x)+1 or y=sec(1/2x+pi/2)+1
500
A building is 60 ft high. From a distance at point A on the ground, the angle of elevation to the top of the building is 40º. From a little nearer at point B, the angle of elevation is 70º. Find the distance from point A to point B. Round to the nearest foot.
60/(tan40^o)-60/(tan70^o)~~50ft
500
Simplify the following expression:
sec(theta)/cos(theta)-tan(theta)/cot(theta)
1