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°