Unit Circle
A ___________ is the length of an arc that is equal to the length of the radius.
radian
The ____________ angle is the angle made with the x-axis using the unit circle.
reference
_____ = hypotenuse/adjacent
sec
The reciprocal of cosine is _____________.
secant (sec)
_____ = opposite/hypotenuse
sin
_____ = opposite/adjacent
tan
The __________ (initial or terminal) side of the triangle on the unit circle is the one that you find using the given degrees or radians. (Basically the one you draw/the one NOT on the x-axis)
terminal
0º , 90º , 180º , 270º , and 360º are all ______________ angles, because they are not in any of the 4 quadrants.
quadrantal
π = _____º
180
When you are converting from radians to degrees, you use a conversion factor of ___/___ (to cancel out the pi)
180°/π
The (x,y) values of a point on a unit circle are ( _____, _____ )
(cos, sin)
The radius of a unit circle is ALWAYS __.
1
On a triangle, side 'a' is opposite angle ____.
A
On a triangle, side 'b' is opposite angle ____.
B
On a triangle, side 'c' is opposite angle ____.
C
What is the formula for circumference of a circle?
C=πd
What is trigonometry?
The branch of math dealing with the relationships between sides and angles
What is a unit circle?
a tool used to find sin, cos, and tan for angles bigger than 90º
When the degree given in the problem is negative, you move _________________ (counterclockwise or clockwise) on the unit circle.
clockwise
_____ = adjacent/hypotenuse
cos
The reciprocal of sine is _____________.
cosecant (csc)
_____ = adjacent/opposite
cot
The reciprocal of tangent is _____________.
cotangent (cot)
Two _______________ angles have different values but meet in the same spot on the unit circle.
coterminal
When the degree given in the problem is positive, you move _________________ (counterclockwise or clockwise) on the unit circle.
counterclockwise
_____ = hypotenuse/opposite
csc
The __________ (initial or terminal) side of the triangle on the unit circle is the one on the x-axis.
initial
When you are converting from degrees to radians, you use a conversion factor of ___/___ (to cancel out the degrees)
π/180°
