Unit Circle
What is cos of (π/2)
What is 0
Simplify: Cos(x)/Sin(x)
Cot(x) or 1/Tan(x)
What type of graph is represented by the function, r =2sin(θ)
Circle
Does the function f(x) = x+7 have an inverse?
Yes
Find the average rate of change of the function, f(x) = 5x + 2, on the interval [2,4].
5
What angle corresponds to the point (-√3/2,1/2)
7π/6
1 + cot^2(x) = ?
Csc^2(x)
Convert to polar coordinates: (-5,0)
(5,π)
Find the inverse of the function f(x) = 2x-7
f-1(x)=(x+7)/2
If a train travels at 1028 miles in 7 hours, what is the average rate of change in miles per hour?
The average rate of change is approximately 146.857 miles per hour.
What is Tan(5π/3)?
-√3
(1-sin^2(x))/(1/sec(x))
cos(x)
Find the max of: 3 + cos(θ/2)
4
Why does the function f(x) = x^2 not have an inverse?
The function, f(x) = x^2, does not have an inverse because it is not one-to-one, since different inputs produce the same output.
Find the average rate of f(x) = x^3 + 6x^2 + 5x +2 on the intervals [3,5].
102
2sin(x)+1=-3
3π/2
(sin(x)cos(x))/cot(x)
sin^2(x)
Identify the graph type: 3 - 2cos(θ)
limacon
Find the inverse of the function (x+3)/5.
F-1(x) = 5x-3
The population of a city grew from about 5,650 to 8,320 in 5 years. Find the average rate of change.
534 people per year
Sin(5π/6)/Cos(π/4)
((1-sin^2(x))/cos(x))(cot(x)//1/tan(x))
cos(x)
Find all values of θ where the graph passes through the pole: 2 - 4sin(θ)
θ = π/6, 5π/6
F(x) = √(3x+2), find f-1(x) and state its domain and range.
f-1(x) = (x^2 - 2)/3
Domain = [0,∞)
Range = [−2/3,∞)
35/24