PreCalc Chapter 4 Test Part 3 Flashcards Preview

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Flashcards in PreCalc Chapter 4 Test Part 3 Deck (28)
0
Q

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.

A

Harmonic motion

1
Q

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

A

Bearing

2
Q

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

A

Period

3
Q

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

A

Frequency

4
Q

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

A

Equal

5
Q

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

A

Direction, N or S

6
Q

How is N75E spoken

A

75 degrees east of north

7
Q

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

A

North or south

8
Q

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

A

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
Q

If there is no direction on the bearing,_________________……

A

Degrees rotate clockwise from due North

10
Q

Shadows are ________ unless stated otherwise

A

Horizontal

11
Q

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

A

Put them in the triangles, making them angles of elevation

12
Q

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

A

L,h

13
Q

Do bearings always start at the origin?

A

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
Q

Make sure to include ____ with period and frequency

A

Units

15
Q

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 ____

A

Center, amplitude, 2

16
Q

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

A

Greater than

17
Q

Y=arcsinx,

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

A

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

18
Q

Y=cos^-1x,

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

A

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

19
Q

Y=arctanx,

What is the alternative notation? Domain? Range?

A

Y=tan^-1x, [R’s], (-pi/2,pi/2)

20
Q

Without restrictions, no trigonometric function has an ______ function
Why

A

Inverse,

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

21
Q

True of false, the arctanx=arcsinx/arccosx

A

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

Pi/4= pi/2 / 0

22
Q

Y=arcsinx

Identify parts

A

Y is an angle, X is a length

23
Q

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

A

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

24
Q

Arcsin and arctan of a negative length=a _________ angle

A

Negative

25
Q

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

A

26
Q

How do you do sin[arctan-5]

A

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
Q

(3x)^2=

A

9x^2