Flashcards in PreCalc Chapter 4 Test Deck (36):

0

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

### Coterminal

1

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

### Radian

2

## 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

3

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

### Degree

4

## 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

5

## 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

6

## A circle has an _____ number of symmetries

###
Infinite

It is the perfect 2D figure

7

## What is a radian?

### An arch length (on the unit circle)

8

## How do you find Coterminal angles

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

9

##
How do you convert radians to degrees?

Degrees to radians?

###
Multiply by 180/pi

Multiply by pi/180

10

## One radian is approximately _____ degrees

### 60 (57.29)

11

## Arc length= ________________ where theta is measured in ______

### S=rtheta, radians

12

##
Linear speed=

Angular speed=

###
arc length/time

central angle (in radians)/time

13

## How much is one revolution for rotational speed

### 2pi radians

14

## A sector is _____

### Part of a circle

15

## There are ______ minutes in one degree

### 60

16

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

### Unit circle

17

## 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

18

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

### Period

19

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

### Odd, even

20

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

### Y,X,Y,X

21

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

### Cosine, secant

22

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

### Sine, cosecant, tangent, cotangent

23

##
Sin^2theta+_____^2theta=1

1+____^2theta=sec^2theta

1+cot^2theta=____^2theta

### Cos, tan, csc

24

## The hypotenuse is never _____

### Negative

25

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

### Radian

26

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

### Opposite, adjacent, hypotenuse

27

## Confunctions of _______ angles are equal

### Complementary

28

## 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

29

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

### Square the sine, square the theta

30

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

### Equal

31

##
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

32

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

### Zero, defined

33

## 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

34

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

### ..

35