PreCalc Chapter 4 Test Part 3

Question 0

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.

Answer 0

Harmonic motion

Question 1

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

Answer 1

Bearing

Question 2

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

Answer 2

Period

Question 3

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

Answer 3

Frequency

Question 4

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

Answer 4

Equal

Question 5

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

Answer 5

Direction, N or S

Question 6

How is N75E spoken

Answer 6

75 degrees east of north

Question 7

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

Answer 7

North or south

Question 8

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

Answer 8

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

Question 9

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

Answer 9

Degrees rotate clockwise from due North

Question 10

Shadows are ________ unless stated otherwise

Answer 10

Horizontal

Question 11

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

Answer 11

Put them in the triangles, making them angles of elevation

Question 12

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

Answer 12

L,h

Question 13

Do bearings always start at the origin?

Answer 13

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

Question 14

Make sure to include ____ with period and frequency

Answer 14

Units

Question 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 ____

Answer 15

Center, amplitude, 2

Question 16

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

Answer 16

Greater than

Question 17

Y=arcsinx,

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

Answer 17

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

Question 18

Y=cos^-1x,

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

Answer 18

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

Question 19

Y=arctanx,

What is the alternative notation? Domain? Range?

Answer 19

Y=tan^-1x, [R’s], (-pi/2,pi/2)

Question 20

Without restrictions, no trigonometric function has an ______ function
Why

Answer 20

Inverse,

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

Question 21

True of false, the arctanx=arcsinx/arccosx

Answer 21

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

Pi/4= pi/2 / 0

Question 22

Y=arcsinx

Identify parts

Answer 22

Y is an angle, X is a length

Question 23

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

Answer 23

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

Question 24

Arcsin and arctan of a negative length=a _________ angle

Answer 24

Negative

Question 25

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

Answer 25

Radian

Question 26

How do you do sin[arctan-5]

Answer 26

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

Question 27

(3x)^2=

Answer 27

9x^2