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Reflective Portfolio
Unit #9: Trigonometry
Section #1: Vocabulary (words and/or diagrams)
Fill-in the blanks on the unit circle.
____°
Define each: Use words or a LABELED diagram.
Acute angle
Angle in standard
position
( ___,___)
____°
____°
Initial side
Terminal side
____°
( ___,___)
( ___,___)
(___,___)
____°
Co-terminal angle
Reference angle
Reference Triangle
Radian
Sinusoidal graphs
Amplitude
period
frequency
midline
vertical shift
Section #2: Formulas/Equations/Rules

Draw and label the Special Right Triangle Ratios (45-45-90, 30-60-90)

State the Pythagorean TRIG identity:


Number the quadrants
Label the signs of an ordered pair in each quadrant

State the 3 basic trig functions and their corresponding Reciprocal Functions
Basic trig functions


Reciprocal trig functions
In the unit circle, the cosine is the ____-coordinate, the sine is the _____-coordinate and the
tangent is what quotient in terms of cos and sin?
s  r
1) How long (in terms of pi) is the arc subtended by an angle of
cm?
radians on a circle of radius 40
2) A central angle of a circular garden measures 120 degrees and intercepts an arc of 90 feet.
What is the radius of the garden measured to the nearest foot?
Section #3: Key methods and concepts

Find a positive and negative co-terminal angle for each:
a) 135º
b) 330º
c)

4

Find the ordered pair that lies on the unit circle for each angle:
Draw the reference triangle for each!!!!
a) 135º

c)

4
c) tan

4
How to find the exact value of a trigonometric function
o Include the following examples:
a) cos 135º

b) 330º
b) csc 330º
How to convert radians to degrees
o Include this example: Convert
5
to degrees
3

How to convert degrees to radians
o Include this example: Convert 315o to radians

If sin  
3
and 270    360 , find the exact value of the other 5 trigonometric functions.
5
 Trig Graphs to know
y=sin(x)
y=3sin(2x)
y=cos(x)
y= -2cos(x)+1
amplitude=_____ frequency=____ period=______
amplitude=_____ frequency=____ period=______
vertical shift:_____ midline=________
vertical shift:_____ midline=________

1)
Trig Graphs: Apply to real-life