Angles
What is a quadrantal angle? Give an example.
A degree that lies on an axis.
90 degrees, 180 degrees, 270 degrees, 360 degrees
Find the exact value of sin(45) on the unit circle
Convert -5π/3 to degrees
-300 degrees
evaluate the sine, cosine, and tangent of the angle without a calculator 5π/6
sin 1/2
cos -√3/2
tan -√3/3
A 15-foot ladder is used to reach a window in an office building so that it makes a 60-degree angle with the ground. What is the height of the window?
13 feet
quadrant 3
25 degrees
Find the exact value of sin(2π/3) on the unit circle
convert -5π/6 radians to degrees
-150 degrees
evaluate the sine, cosine, and tangent of the angle without a calculator 225 degrees
sin -√2/2
cos -√2/2
tan 1
Bill, who is 6 ft tall, casts a shadow on the ground that measures 15 ft in length what is the angle of elevation to the moon?
21.8 degrees
Name the quadrant, reference angle, and 2 coterminal angles of 283 degrees on the unit circle.
quadrant 4
77 degrees
-77 and 643
Find the exact value of tan(-π/2) on the unit circle
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Convert 285 to radians
19π/12
use the given function values to find the indicated trigonometric functions.
Sec X=5
solve for sin X, tan X, cos X
Sin X: 2√6/5
Tan X: 2√6
Cos X: 1/5
Albert is standing 15 ft from the base of the fire department. He places his computer on the ground and approximates the angle of elevation to the top of the building to be 61.8°. Approximate the height of the building to the nearest foot.
28 feet
Name the quadrant, reference angle, and 2 coterminal angles of -310 degrees on the unit circle.
quadrant 1
50 degrees
50 and -670
Find the exact value of sec(π/2) on the unit circle
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convert 120 degrees to radians
2π/3
Given the trig functions and constraint below find the exact values of each 6 trig functions
tanx= -4/3 and sin< 0
sin: -4/5 csc: -5/4
cos: 3/5 sec: 5/3
tan: -4/3 cot: -3/4
Roddy is in a mansion on the ocean looking due north and spots two boats. The angle of depression to one boat is 14 degrees and the other is 19°. If the deck of the mansion is 20 ft off the ground approximate the distance between the two boats.
22.1 feet
Name the quadrant, reference angle, and 2 coterminal angles of 4π/3 on the unit circle.
quadrant 3
π/3 degrees
-2π/3 and 10π/3
Find the exact value of cot(5π/3) on the unit circle
-√3/3
convert 210 degrees to radians
7π/6
Solve each trig equation for x if 0≤x≤2π
secx= 2
π/3
5π/3
A statue of Lilly is sitting atop a podium. A butterfly is sitting 50 inches from the base of the statue. The angle of elevation to the bottom of the statue is 28° and to the top of the statue is 42°. How tall is the statue of Lilly?
18.4 inches