Math Analysis 6.4-6.6 Test Review

The Unit Circle

100

For -360^o ≤ x ≤ 360^o, what values of x does the sin(x) = 1?

What are 90^o and 270^o?

200

For -360^o ≤ x ≤ 360^o, what values of x is cos(x) undefined?

What is none?

300

For -360^o ≤ x ≤ 360^o, what values of x does the cot(x) = 0?

What are 90^o, -90^o, 270^o, and -270^o?

400

For -360^o ≤ x ≤ 360^o, what values of x does the tan(x) = -1?

What are 135^o, -45^o, 315^o, and -225^o?

500

For -360^o ≤ x ≤ 360^o, what values of x is the csc(x) undefined?

(Hint: There are 5)

What are 0^o, 180^o, -180^o, 360^o, and -360^o?

Which Quadrant Am I In?

100

In these quadrants, the sine function is positive.

What are quadrants 1 and 2?

200

In these quadrants, the cosine function is negative.

What are quadrants 2 and 3?

300

In these quadrants, the cosecant function is negative.

What are quadrants 3 and 4?

400

In these quadrants, the tangent function is decreasing.

What is none of them?

500

If I shift the cosine function down 2, it will be increasing in these quadrants.

What are quadrants 3 and 4?

Parent Graphs

100

On a standard cosine graph, the graph starts at this point when x = 0.

What is y = 1?

200

What is the sine function or y = sin(x)?

300

The answer is where you seek it. This inverse of cosine has a graph that reflects evenly across the y-axis.

What is the secant function?

400

This trig parent graph is the only one that doesn't increase.

What is cotangent?

500

Don't let Mr. Redillas go off on one of these. This parent graph that only increases goes from negative to positive through the origin.

What is the tangent function?

P&A

100

In the form

y=Asin(Bx-C)+D

Amplitude is represented by this variable.

What is A?

200

To find the transformed period of a sine graph in terms of degrees, I would use this ratio.

What is

360^o/B?

300

This is the period length of the cotangent parent graph.

What is 180^o?

400

I'm positive this is the amplitude of the following function.

y=-5(2x-120^o)

What is 5?

500

If the period of a transformed secant graph is 1440^o, this must be the value of B in the function.

What is

1/4?

P.S.

100

In the form

y=Asin(Bx-C)+D

this ratio can quickly help you find the value of the phase shift.

What is 

C/B?

200

This is the phase shift of the equation

y=-2cos(3x-270^o)

What is 90^o?

300

If the phase shift is 60^o, this must be the value of B in the equation

y=3tan(Bx-540^o)

What is 9?

400

This is the phase shift of the equation

y=4sin(2x+300^o)

What is -150^o?

500

If the phase shift is equal to 7, find the value of C in the equation

y=cot((pix)/3-C)

What is 

(7pi)/3?