Angles
Mixed Concepts
Trigonometric Fuctions
Formulas
Physics
100
Define Reference Angle
Angle formed between the terminal side of an angle given and the x-axis
100
These are the conditions for the base in an exponential function
The base CANNOT BE a) negative b) 0 c) 1
100
Draw a proportional triangle and state the length of the sides for the 30 60 90 classical triangle
(Graph)
100
What is the formula for length of arc?
s=Theta*r
100
Define "Angular Velocity"
It is the angle covered in a certain amount of time by an object moving in a circular path
200
What is an angle in "Standard Position" ?
An angle whose initial side lies on the positive x-axis
200
Solve the following equation: 2^(x+1)=3
0.58
200
This is represented by the height from peak to trough on a wave
Amplitude
200
This is the formula for Linear Velocity
V= W. r or V=(thetha/t)*r
200
The degree measure of 12.75 rotations
4590
300
How are two angles who share the initial and terminal sides called?
Coterminal Angles
300
What is the name of a logarithm in base 10?
Common logarith
300
Graph tan(x/2)
Graphical Answer
300
What is formula for Compound Interest?
A= P(1+r/n)^(nt)
300
Find the radius of a circle with an arc length of 3 meters and a central angle of4pi/3 radians
0.72 meters
400
The complement of 2pi/5 in degrees
18 degrees
400
State the Equation of any asymptote for the cot(x) function
Ex: x= 0 x= pi x=2pi
400
Calculare sin (2pi/18 + 3pi/7) / cos (-3pi/4)
0.9922/ -0.707 = -1.403
400
State One of the Pythagorean Identities
sin^2 + cos^2 = 1
400
Provide an Example in which the function "sinx" represents a physics/real world situationSample Answers:
Waves in the ocean Sound Waves
500
Transform 50 degrees 35' 20 " into radians
50.58 pi/180
500
Which is bigger, the domain of Exponential or Logarithmic Functions? Provide a clear explanation
The domain of Exponential Functions is "All Real Numbers" while the domain of a Logarithmic Function is restricted by an Asymptote
500
A man is standing 50 feet away from the base of a tree. He measures the angle of elevation to the top of the tree as 71.5 degreess. How tall is the tree
149.43 feet
500
What is the formula for Interest Compound Continuously?
A= Pe^(rt)
500
What is the angular speed of the tire in radians per second if a 15inche diameter tire of a car makes 9.3 revolutions per second?
58.43 rads/sec