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

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

Bearing

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

Period

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

Frequency

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

Equal

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

Direction, N or S

How is N75E spoken

75 degrees east of north

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

North or south

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

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

Degrees rotate clockwise from due North

Shadows are ________ unless stated otherwise

Horizontal

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

Put them in the triangles, making them angles of elevation

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

L,h

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

Make sure to include ____ with period and frequency

Units

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

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

Greater than

Y=arcsinx,

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

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

Y=cos^-1x,

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

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

Y=arctanx,

What is the alternative notation? Domain? Range?

Y=tan^-1x, [R’s], (-pi/2,pi/2)

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

True of false, the arctanx=arcsinx/arccosx

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

Pi/4= pi/2 / 0

Y=arcsinx

Identify parts

Y is an angle, X is a length

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

Arcsin and arctan of a negative length=a _________ angle

Negative

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

Radian

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

(3x)^2=

9x^2