Exam 3 Review

Trig Identities

100

What is equivalent to sin(-x)?

-sin(x)

200

Give a function equivalent to tan(-x)

-tan(x)

300

What is equivalent to sec(-x)?

sec(x)

400

Give a function equivalent to sin(x-pi)

-sin(x)

500

Name all 3 pythagorean identities

sin²x+cos²x=1

1+cot²x=csc²x

tan²x+1=sec²x

Trig Evaluation

100

Calculate sin(-5pi/4)

sqrt(2)/2

200

what is cos(3600000000)?

1

300

arcsin(-5/2)

Undefined

400

arccos(sqrt(3)/2)

pi/6

500

arctan(1)

pi/4

Trig Eval Cont.

100

Evaluate sin(arctan(2x))

2x/sqrt(4x^2+1)

200

Evaluate sin(arccos(3/2))

undefined

300

Evaluate sin(arctan(5))

5/sqrt(26)

400

sec(arccos(535/536))

536/535

500

tan(arccos(1+x))

sqrt(-x^2-2x)/(1+x)

Graphs

100

What is the formula for finding the period of a sin graph?

2pi/b

200

What is the formula for finding the period of a tan/cot function?

pi/b

300

Find the period, amplitude, vertical shift, and phase shift.

-3sin((pi/2)x)+4

P: 4

A: 3

VS: UP 4

PS: None

400

Find the period, amplitude, vertical shift, and phase shift.

tan(2x-pi/2)-1

P: pi/2

A: N/A

VS: down 1

PS: Right pi/2

500

Find the period, amplitude, vertical shift, and phase shift.

3sec(3x+pi/3)+3

P: 2pi/3

A: 3

VS: Up 3

PS: left pi/3

Random

100

What is the radius of the unit circle?

1

200

When is the final in this class? (day and time)

december 12 at noon

300

Say "Euler" correctly.

"oil-er"

400

Say 6 digits of pi

3.14159

500

What is the range of the arccos(x) function?

[0,pi]