Unit Two Test Review (TRIG!)
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 ?
8π
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
