Flashcards in PreCalc Chapter 4 Test Part 3 Deck (28):

0

## A _____ measures the acute angle that a path or line of sight makes with a fixed north-south line

### Bearing

1

## A point that moves on a coordinate line is said to be in simple ______ ______ when its distance is d from the origin at time t is given by either d=asinwt or d=acoswt.

### Harmonic motion

2

## The time for one complete cycle of a point in simple harmonic motion is its ____________

### Period

3

## The number of cycles per second of a point in simple harmonic motion is its _________

### Frequency

4

## Angle of depression and angle of elevation are (equal/reciprocals) for the same triangle

### Equal

5

## A bearing is a _________ that always starts with (N or S/ E or W)

### Direction, N or S

6

## How is N75E spoken

### 75 degrees east of north

7

## In a bearing, start at ________ and rotate towards the line

### North or south

8

## In a simple harmonic motion question, what are the rules for each variable

### W is greater than 0, take absolute value of a, period=2w/pi, and opposite for frequency, frequency is measured in cycles per unit of time

9

## If there is no direction on the bearing,_________________......

### Degrees rotate clockwise from due North

10

## Shadows are ________ unless stated otherwise

### Horizontal

11

## In a story problem, if angles of depression are given, what should you do

### Put them in the triangles, making them angles of elevation

12

## To find an equation of L in terms of h, make sure ____=________

### L,h

13

## Do bearings always start at the origin?

### No- for example, if you are south east and you are looking to take a bearing towards the origin, start where you are, and go North west

14

## Make sure to include ____ with period and frequency

### Units

15

## For regular figures inscribed in circles, the angle is always measured in the ____. Split an isosceles triangle using an _________ and multiply your final distance by ____

### Center, amplitude, 2

16

## When you are finding the least positive value, make sure your number is _____ 0

### Greater than

17

##
Y=arcsinx,

What is alternative notation? What is the domain? Range?

### Y=sin^-1x, [-1,1], [-pi/2,pi/2]

18

##
Y=cos^-1x,

What is the function? What is the domain? Range?

### Y=arccosx, [-1,1], [0,pi]

19

##
Y=arctanx,

What is the alternative notation? Domain? Range?

### Y=tan^-1x, [R's], (-pi/2,pi/2)

20

##
Without restrictions, no trigonometric function has an ______ function

Why

###
Inverse,

Because the parent graph will not be one-to-one, making the inverse function fail Vertical Line Test

21

## True of false, the arctanx=arcsinx/arccosx

###
False, if you plug in 1 for X, you get

Pi/4= pi/2 / 0

22

##
Y=arcsinx

Identify parts

### Y is an angle, X is a length

23

## What is the difference between y=arcsinx and y=sin^-1x

### Arcs only have on solution (know range constraint), while inverse sine has infinite solutions

24

## Arcsin and arctan of a negative length=a _________ angle

### Negative

25

## When doing the arccos(-0.41), make sure your calculator is in ______ mode

### Radian

26

##
How do you do sin[arctan-5]

### Build a triangle making your tangent -5 (watch constraint, in this case you'd build in quad 4), then use Pythagorean theorem to find your hypotenuse, and find the sine of theta

27