PreCalc Chapter 4 Test Flashcards Preview

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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

How do you change revolutions to radians for angular speed

Just multiply by 2pi