Name that Angle
This angle on the unit circle points straight up and has coordinates of (0, 1)
What is pi/2?
180 degrees
What is pi radians?
An angle is in this quadrant if it has a positive sine and cosine value.
What is quadrant 1?
Sine and Cosine functions are examples of this type of function.
What is a periodic function?
This mathematician has both a theorem and an identity named after him that have to do an awful lot with right triangles.
Who is Pythagoras?
This fun angle has both a cosine of .71 and a sine of .71.
And it happens to be where a peak occurs on the function sin(theta) + cos(theta)!
What is pi/4?
270 degrees
What is 3pi/2 radians?
These weird angles are not really in quadrants and have a tangent value of 0.
What are 0, 2pi and pi?
Both a sine and cosine graph have these maximum and minimum values.
What is one and negative one?
I have only ever been called Con, but this is my full first name.
What is Constance?
This oddball angle in quadrant 4 is a reflection of pi/6 across the x axis.
What is 11pi/6?
300 degrees
What is 5pi/3 radians?
I've taken a journey to this quadrant and found negative tangent value AND a negative sine.
What is quadrant 4?
This is the length of a period in a sine function.
What is 2pi?
Pi, sine and cosine are all examples of these. And because of that, they remain the same no matter how big the circle or triangle is.
What are ratios?
It would be correct to say that this angle is coterminal with 8pi/3 and -4pi/3.
What is 2pi/3?
15 degrees
What is pi/12 radians?
This quadrant is home to the angles 7pi/6 and 4pi/3.
The cosine function reaches its highest value at this value of theta.
What is 0 or 2pi?
This odd clothing habit of mine originated when I taught dance to children, to help them differentiate between right and left feet.
What is wearing mismatched socks?
These angles have a tangent of positive 1.
What are pi/4 and 5pi/4?
450 degrees
What is 5pi/2 radians?
The quadrants we talk about are on a Cartesian Coordinate Grid. Which is named for this French philosopher who famously said "I think, therefore I am".
Who is Rene Descartes?
If I wanted to change the length of a period of a sine or cosine function, I would have to perform this transformation.
What is a horizontal dilation?
This supernatural tv show that first aired in 2004 about people stranded on an island is my favorite show.
What is Lost?