Unit Circle
Triangulation
Trig Graphs
Application
Miscellaneous
100
cos 5π/6
-√3/2
100
Define the Law of Cosines
a^2=b^2 + c^2 - 2bc * cos A
100
What is the amplitude and period of the graph in the equation y=-6 cos 2(x-4) +3.
Amplitude= 6
Period= π
100
Find all solutions to cos x= 2.357 in the domain of 0°≤x≤360°.
No solutions
100
cos 7π/6
-√3/2
200
Convert 2.25 radians to degrees and round to the nearest tenth
128.9°
200
In triangle ABC, a= 78 in, b= 114 in, and c= 50 in. Find angle A.
34.4°
200
List the amplitude, period, phase shift, vertical shift, and frequency of the equation y=3 sin 4(x-1) +2
Amplitude= 3
Period= 0.5π
Phase Shift= 1 right
Vertical Shift= 2 up
Frequency= 2π
200
A right triangle has legs with 17 in and 21 in. Find the measure of all of the angles.
38.99°, 90°, 51.01°
200
tan 17π/6
-√3/3
300
Sec 405°
√2
300
In a right triangle XYZ, angle Y is 47° and angle Z is 43°. Side z is 4.5 in. Find side y.
4.825 in
300
Give the equation for the graph below in cos:
y=3 cos 2(x-π/2) -1
300
Give an equation using sin for a graph with the an amplitude of 3.5, a period of 4, a vertical shift of -2, and a phase shift of 12.
y= 3.5 sin π/2(x-12) -2
300
In triangle JKL, angle J= 58°, l=7.5 in, and j=9.3 in. Find all possible values for angle Z.
43.1°
400
Write an equation for the vertical asymptotes of (cos x/sin x) in the domain -2π≤x≤2π
x=+/- πn where n is an integer
400
In triangle PIG, p=8 cm, i=3 cm, and g=12 cm. Find angle G.
This angle does not exist, no solution
400
Sketch a graph with the equation y= 3 sin 2(x-π/4) +3
400
Two streets (Street A and Street B) meet at an angle of 64°. Street A has an angle of 52° and Street B is 16 ft long. How long (in ft) in Street A. Round to the nearest tenth.
Street A is 14.0 ft long.
400
Create an equation using cos for a graph with an amplitude of 3, period of π, slid 6 up and 2 right.
y=3 cos 2 (x-2) +6
500
List the restrictions and write the equation of the vertical asymptotes of (sin x/ tan x) in the domain of -2π≤x≤2π
Restrictions: x=+/- π/2n where n is an integer
Vertical Asymptotes: none
500
Find all the solutions for tan x= 1.776 in the domain 0°≤x≤360° and round to the nearest tenth.
60.6° and 240.6°
500
You see a ferris wheel that has a radius of 33.2 ft where the bottom of the ferris wheel is 4 ft above the ground. The ferris wheel finishes a rotation every 15 seconds. Write an equation using cos to represent the scenario and then determine how high someone on the ferris wheel is at 42 seconds.
y= 33.2 cos 2π/15(x-7.5) +37.2
At 42 seconds someone will be at 26.9 ft
500
A satellite is launched into orbit that can be measured with a sin wave. The satellite is y kilometers north of the equator at x minutes. It reaches 4,500 km, the peak height, at 15 minutes. Half an orbit later, it is 4,500 km south of the equator, the lowest point. Each orbit takes 2 hours. Create an equation using cos to model this scenario.
y= 4,500 cos π/60 (x-15)
500
List both the restrictions and vertical asymptotes for (sin x/cos x) in the domain of -2π≤x≤2π.
Restrictions: x=+/-π/2n when n is an odd integer
Vertical Asymptotes: x=+/-π/2n when n is an odd integer