Trigonometry II Flashcards
Unit Circle and Terminal/Coterminal Angles
What is the unit circle?
It is a circle with a radius of 1 centered at the origin.
What is the x-coordinate and the y-coordinate, respectively?
cos and sin
The length of the ________ is the length of the _______.
radius, hypotenuse
When you make the denominator of a fraction smaller, you make the fraction _______.
larger
A full rotation of a circle is _____.
360 degrees
What are the signs for (cos, sin) in Quadrant 1?
+, + (All positive)
Up until what degrees are in Quadrant 1 (line of π/2 included)?
90 degrees
What are the signs of (cos, sin) in Quadrant 2?
-,+ (Sin positive)
Up until what degrees are in Quadrant 2 (line of π included)?
180 degrees
What are the signs of (cos, sin) in Quadrant 3?
-,- (Tan positive)
Up until what degrees are in Quadrant 3 (line of 3π/2 included)?
270 degrees
What are the signs of (cos, sin) in Quadrant 4?
+,- (Cos positive)
What is the terminal ray (or side)?
The terminal ray (or side) is the final position of the line that was rotated.
What is the initial side?
The initial side is the starting position of the line to be rotated.
What are coterminal angles?
They are angles that land on the exact same point on the graph. The difference between them is 360 degrees.