Unit Two Test Review (TRIG!)

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sin(270⁰) =

-1

cos(-120⁰) =

-1/2

csc(-5π/6) =

-2

Convert to degrees: -2π/15

-24⁰

sec(17π/6) =

-2√3/3

Convert to radians: -160⁰

-8π/9

What is the phase shift of the graph of y = -cos(¾x + 2π/3) ?

-8π/9

Phase Shift = ... (definition and formula)

-c/b, where the graph starts (how shifted left/right)

tan(11π/6) =

-√3/3

cot(45⁰) =

1

Convert to degrees: 5π/9

100⁰

State an angle coterminal to -π/6 that is between 0 radians and 2π radians.

11π/6

What is the reference angle for 195⁰?

15⁰

State an angle coterminal to 520⁰ that is between 0⁰ and 360⁰.

160⁰

State an angle coterminal to -130⁰ that is between 0⁰ and 360⁰.

230⁰

What is the reference angle for 25⁰?

25⁰

Convert to radians: 145⁰

29π/36

Period = ... (definition and formula)

2π/b, how long a graph is (one cycle from start to end)

What is the reference angle for 320⁰?

40⁰

State an angle coterminal to 11π/3 that is between 0 radians and 2π radians.

5π/3

What is the reference angle for 110⁰?

70⁰

Solve: sinx = -1/2

7π/6 and 11π/6

What is the period of the graph of y = 2cos(¼x)-3 ?

What is a reference angle?

Angle made with the x-axis.

Amplitude = ... (definition)

a-value, how high/low the graph goes from the midline

How do you find a coterminal angle in radians?

add or subtract 2π

How do you find a coterminal angle (in degrees)?

add or subtract 360

Vertical Shift = ... (definition)

d-value, where the midline is (how shifted up/down)

How do you convert from radians to degrees?

multiply by 180/π

How do you convert from degrees to radians?

multiply by π/180

What is the period of the graph of y = 3sin(2x-π)+1 ?

π

What is the phase shift of the graph of y = 2sin(½x - π/2) ?

π

Solve: tanx = √3

π/3 and 4π/3

What is the reference angle for 3π/4?

π/4

cos(-45⁰) =

√2/2

sin(495⁰) =

√2/2

tan(4π/3) =

√3


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