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4/20/2016
A few things we will be using…
13.1 part 1 - Six Trig Functions
Pythagorean Theorem: + = ***Remember that “c” is the hypotenuse
opposite the 90 degree angle.
Objective: TSW calculate the six
trigonometric ratios.
- “theta”, you will see this to show an angle
measure.
Rationalize a denominator – no radical in the
bottom of a fraction!
Who remembers….
Review rationalizing the denominator
Rationalize the denominator:
1
3
a.
b.
5
3
• SOHCAHTOA?
We have 6 trig functions…three we know and
three are new, but can be found using the first
three.
Sine
has an inverse
Cosecant
The Trig Functions we know…
SOH CAH TOA
sin = OR
r
cos = OR
tan = OR
y
Cosine
has an inverse
Secant
Tangent
has an inverse
Cotangent
x
1
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The Trig Functions we know…
SOH CAH TOA
csc =
OR
Examples: Find the six trigonometric functions for each
triangle.
1.
17
r
sec =
tan =
OR
OR
15
y
8
x
Examples: Find the six trigonometric functions for each
triangle.
Examples: Find the six trigonometric functions for each
triangle.
2.
3.
10
7
6
5
Examples:
%
4. findcos #$ tan = &
Examples:
*
5. find'#( )#$ cos ) = ++
2
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Homework
Worksheet
3
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