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Unformatted text preview: 4.2 The Unit Circle Part 2
Sunday, August 21, 2011
5:10 PM Agenda:
0. Please pick up a whiteboard on the stool as you come in!
1. Homework Roll
2. Whiteboard Work (is this color better than this one?)
3. Lesson: 4.2 The Unit Circle Part 2
____________________________________
Homework Roll
Roll
HW#
1,2,3
1
4,5,6
2
____________________________________
Whiteboard Work (Yes, on your whiteboard. You did remember your pen, correct?)
Evaluate the 6 trigonometric functions of the real number.
1.
2.
(what is the coterminal angle to this
between 0 and 2 ?) Keep your whiteboard and pen on your desk. We will use them today every time you
see the new whiteboard color...
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Lesson: 4.2 The Unit Circle Part 2
Goal: Evaluate trig functions using its period and whether the function is odd or even. DOD
Warmup 2. demonstrate that these trig functions are periodic, which means that
they repeat over a specific interval (or period). Sine, Cosine, Cosecant and Secant
function values repeat every 2π, so their period is 2π. Tangent and Cotangent
function values repeat every π, so their period is π. Ch_1 Page 1 For all trig functions,
n
2)
n) (I used here. I could have used any other trig functions) Example: 2 Because
c tan c 2 ____________________________________
Odd and Even Functions Review
Odd Function
Even Function
)
)
)
)
"opposite of the input makes the output "opposite of the input does not change
the output"
opposite"
Example:
)
2
)2 ) 2 Example:
)
) ) ____________________________________
Odd and Even Trig Functions
Odd Functions
Even Functions
)
)c
n
n)
c
)
)
)
cc
cc )
ec
ec )
)
tan
tan )
)
ct
ct )
Examples
Evaluate
n 2 c
Ch_1 Page 2 2 n n ) 2 n )=_________ cc )=_________ ) c
c ec Ch_1 Page 3 ) ) 2 n n ) )
) ________ ...
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This note was uploaded on 11/19/2011 for the course MATH 180 taught by Professor Byrns during the Spring '11 term at Montgomery College.
 Spring '11
 byrns
 Math, Unit Circle

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