Attributes of Graphs
Evaluating Functions
Triangle Trigonometry
Unit Circle
Trig Graphs/Transformations
100
Using interval notation, find the domain with the graph below.
Domain: (-∞, ∞)
100
Given the function below. Find f^-1(x).
f(x) = 2x + 9/ x + 9
f^-1(x) = 9x + 9/ x + 2
100
Solve for the missing side length down below.
missing side = opp
Adjacent = 3
angle = 20°
x = 3 x tan(20°) = 1.09
100
Find the reference angle of 340°.
20°
100
What is the period of the function below?
Starting point = (0, 35)
Point (1) = (5,35), Pt(2) = (10, 10), Pt(3) = (20, 35), Pt(4) = (30, 10), Pt(5) = (40, 35)
P = 15
200
By using the graph below, what is the decreasing interval?
Dec: (-5, 0) U (6, -∞)
200
Given f(x) = 4x^2 + x - 5, find f(-5).
f(x) = 90
200
The ladder leaning against the wall make an angle of 82° with the ground. The bottom ladder is 10 feet from the building. How long is the ladder?
x = 10/cos(82°) = 71.85
200
Evaluate the following trig expression.
csc(2𝝅/3)
2 √(3)/3
200
Use the same graph below in order to find the amputation.
Starting point = (0, 35)
Point (1) = (5,35), Pt(2) = (10, 10), Pt(3) = (20, 35), Pt(4) = (30, 10), Pt(5) = (40, 35)
5
300
Find the type of discontinuity on the graph below.
Jump disc at x = -1 and x = 2
300
Find the composition function if f(x) = -10x z + 9 and g(x) = 3x - 2. f(g(f(g(-2)))).
659
300
Solve for the variables using Law of Sine.
missing <C(1), <C(2), <B(1), <B(2), B(1), B(2)
AB = 5
CB = 2
A = 20°
<C(1) = 58.77, <C(2) = 121.23, <B(1) = 101.23,
<B(2) = 38.77, B(1) = 5.74, B(2) = 3.66
300
Find the terminal sides of B passes through (1, -2).
Sin B = 2√(5)/5, Cos B = √(5)/5, Tan B = -2,
Cot B = 1/-2, Sec B = √(5), Csc B = √(5)/-2
300
With the same graph, find the function of form h(t) = a cos(b(t-c)) + d.
Starting point = (0, 35)
Point (1) = (5,35), Pt(2) = (10, 10), Pt(3) = (20, 35), Pt(4) = (30, 10), Pt(5) = (40, 35)
h(t) = 5cos (𝝅/3(t-5)) + 9