Right Triangles
Trigonometry
Linear & Quadratics
Inverse Functions
Equations
100
Ratios of sine, cosine, and tangent
What is
sin = (opposite)/(hypoten use) , c o s i n e = (adjacent)/(hypoten use) , tangent = (opposite)/(adjacent)
100
Period, phase shift, and amplitude of
f(x) = -4sin(4(x-pi/2))+7
What is
period = pi/2, phase shift = pi/2 to, amplitude = 4
100
Find the slope of the segment that connects (7,3) and (13, 7).
What is
m=3/2
100
To have an inverse function, a function must be a one-to-one correspondence. To fulfill this requirement, the graph needs to pass what test?
What is the horizontal line test
100
Solve: x2=1
x=-1, 1
200
If
sin(x)=3/8, tan(x)= 3/6
, what is cos(x)?
What is
cos(x) = 6/8
200
Write the function of a trigonometric curve that has an amplitude of 5, a period of 4π, and a phase shift of π/3?
Answers will vary.
200
Find the x-intercept, y-intercept:
8x - 6y = 24
What is
x: (3,0), y: (0,-4)
200
To find an inverse function, what is the first step one should take?
What is switching x and y
200
Solve the following:
2/x=1/(x+2)
What is x = -2
300
A shape with 12 sides is called a what?
dodecagon
300
Find c
What is
c approx 6.7
300
Equation of the line through (2, 3) and perpendicular to 2x + y = 10
What is
y-3=1/2(x-2)
300
Find the inverse function of
f(x)=4x-9
What is
f^-1(x)=(x+9)/4
300
Solve the following:
sqrt(x+3)=4
What is
x=13
400
Find
angle A
What is
angleAapprox53.1°
400
Find b
What is
bapprox9.8
400
Find the zeros of the function
y=x^2+5x-14
What is
x=2,-7
400
Find
cos(tan^-1(4/3))
What is
3/5
400
Solve the following:
e^(2x-3)=7
What is
(ln(7)+3)/2
500
From the top of a 180ft cliff, the angle of depression to the base of a lighthouse is 22°. How far is the lighthouse from the base of the cliff?
What is
approx 445.5ft
500
Condense:
(1+sin(x))/cos(x) + cos(x)/(1+sin(x))
2sec(x)
500
Who is considered the father of Geometry
Euclid
500
Find all angles between 0 and 360 degrees, such that
cos^-1(x)=0.5
What is 60 and 300 degrees
500
Solve the following:
sqrt(x+5)+sqrt(x)=5
What is x = 2