MATH 1430 Third Exam Review

Angles

100

What is the reference angle of 13𝝅/4?

𝝅/4

200

Find the angle in [0,2𝝅] that is coterminal with 21𝝅/4.

5𝝅/4

300

Convert 𝝅/10 to degrees.

18 degrees

400

Find the angle in [0, 2𝝅] that is coterminal with 23𝝅/4.

7𝝅/4

500

If the terminal side of an angle goes through the point (-3,-7), find sinθ, cosθ, and tanθ.

sinθ = -7/√58

cosθ = -3/√58

tanθ = 7/3

Trig

100

Find the exact value of cos(-15𝝅/4).

√2/2

200

Find the exact value of sin -17𝝅/6

-1/2

300

What is the csc(9𝝅)?

undefined (1/0)

400

Find the exact value of cos^-1(-√3/2)

5𝝅/6

500

Find the exact value of tan(sin^-1(u))

tanθ = u/√(1-u²)

Unit Circle ish

100

What quadrant contains the terminal side of 13𝝅/12?

Quadrant III

200

If sinθ < 0 and tanθ < 0, what quadrant is θ in?

Quadrant IV

300

If cosθ = 5/13 and tanθ < 0, find secθ, cscθ, and cotθ.

secθ = 13/5

cscθ = -13/12

cotθ = -5/12

400

If cosθ > 0 and cscθ = -5/3, find secθ, tanθ, and cosθ.

secθ = 5/4

tanθ = -3/4

cosθ = 4/5

500

If the terminal side of an angle θ goes through the point (-12,5), find cotθ, cscθ, and secθ.

cotθ = -12/5

cscθ = 13/5

secθ = -13/12

Sin Function

100

What is the domain and range of this function?

y = 3sin(2x)

Domain: (-infinity, infinity)

Range: [-3,3]

200

What is the amplitude and period of this function?

Amplitude: 2

Period: 2𝝅/5

300

y = 3sin(2x)

Vertical strength or compression? by a factor of what?

Horizontal strength or compression? by a factor of what?

Vertical Stretch 3

Horizontal Compression 1/2

400

Phase shift of this function?

y = -3cos(θ+𝝅)

left 𝝅

500

Come up and sketch this function on the board.

y = -2sin(5x)

Answer in photos

Abby Trivia

100

What is my major?

Materials Engineering

200

What state am I from?

Nebraska

300

How many siblings do I have?

3 brothers

400

What is my favorite food? (hint: it's a dessert)

Ice Cream

500

Where did I study abroad for a summer?

Valencia, Spain