One ______ is the measure of a central angle that intercepts an arc length to the radius of the circle

Radian

Two angles that have the same initial and terminal sides are ________

Coterminal

Two positive angles that have a sum of pi/2 are _____ angles, where two positive angles that have a sum of pi are ____ angles

Complementary, supplementary

The angle measure that is equivalent to a rotation of 1/360 of a complete revolution about an angle’s vertex is one ________

Degree

The _____ speed of a particle is the ratio of the arc length to the time traveled, and the _____ speed of a particle is the ratio of the central angle to the time traveled

Linear, angular

The area A of a sector of a circle with radius R and central angle theta, where theta is measured in radians, is given by the formula __________

A=1/2r^2theta

A circle has an _____ number of symmetries

Infinite

It is the perfect 2D figure

What is a radian?

An arch length (on the unit circle)

How do you find Coterminal angles

+/-360 or 2pi(GET A COMMON DENOMINATOR IF YOU DO 2PI)

How do you convert radians to degrees?

Degrees to radians?

Multiply by 180/pi

Multiply by pi/180

One radian is approximately _____ degrees

60 (57.29)

Arc length= ________________ where theta is measured in ______

S=rtheta, radians

Linear speed=

Angular speed=

arc length/time central angle (in radians)/time

How much is one revolution for rotational speed

2pi radians

A sector is _____

Part of a circle

There are ______ minutes in one degree

60

Each real number t corresponds to a point (X,y) on the ____ ______

Unit circle

A function f is ___ when there exists a positive real number c such that f(t+c)=f(t) for all t in the domain of f

Periodic

The smallest number c for which a function f is periodic is called the ______ of f

Period

A function f is ________ when f(-t)=-f(t) and ______ when f(-t)=f(t)

Odd, even

Sine is the _ value, cosines is the _ value, and tangent is the _ over the _ value

Y,X,Y,X

______ and _____ functions are even, meaning that at -t, it is just t

Cosine, secant

The ____, _____, _____, and ____ functions are odd, meaning at -t, it is -(sin)t

Sine, cosecant, tangent, cotangent

Sin^2theta+_____^2theta=1

1+____^2theta=sec^2theta

1+cot^2theta=____^2theta

Cos, tan, csc

The hypotenuse is never _____

Negative

When taking the sine of a function in radians, make sure your calculator is in ______ mode

Radian

Relative to the acute angle theta, the three sides of a right triangle are the ____ side, the _____ side, and the _______ side

Opposite, adjacent, hypotenuse

Confunctions of _______ angles are equal

Complementary

An angle that measures from the horizontal upward to an object is called the angle of _______, whereas the angle that measures from the horizontal downward to an object is called the angle of _______

Elevation, depression

What is the difference between sin^2theta and sintheta^2

Square the sine, square the theta

Angle of depression and angle of elevation are _______ for the same triangle

Equal

You use trig values when you have ______ and you want to find ____

You use their inverses when you have ___ and you want to find ____

Angles, lengths

Lengths, angles

Because r=square toot x^2+y^2 cannot be ____, the sine and cosine functions are _____ for any real value for theta

Zero, defined

The acute positive angle formed by the terminal side of an angle theta and the horizontal axis is called the ______ angle of theta and is denoted by theta’

Reference

Always make sure to check your signs by asking yourself if tangent/cosine/sine/etc is +/- in quadrant ____

..

How do you change revolutions to radians for angular speed

Just multiply by 2pi