1. Ch.14.1_TrigonometricFunctions.notebook March 01, 2012
Chapter 14.1
Trigonometric Functions
Reference angles
Opposite side ­ side ACROSS from ref. angle
Adjacent side ­ side NEXT TO ref. angle
Hypotenuse ­ side ACROSS from the 900 angle
SOH ­ CAH ­ TOA
i p y o d y a p d
n p p s j p n p j
e o o i a o g o a
s t n c t e s c
i e e e e n i e
t n n n t t n
e u t u e t
s s
e e
Sin(angle) = Opposite side
Hypotenuse
Adjacent side
Cos(angle) =
Hypotenuse
Opposite side
Tan(angle) = Adjacent side
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2. Ch.14.1_TrigonometricFunctions.notebook March 01, 2012
5 3
4
Find the following
Sin( )=
Cos( )=
Tan( )=
Solve for x and y 420
4
x
y
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3. Ch.14.1_TrigonometricFunctions.notebook March 01, 2012
Inverse
B
Trig
13
5
A
12
Inverse trig functions are used to find angle
measures
Sin( ) Sin­1( )
Cos( ) Cos­1( )
Tan( ) Tan­1( )
Sin(A) =
Sin­1( ) = A
Find angle B with inverse trig
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4. Ch.14.1_TrigonometricFunctions.notebook March 01, 2012
What are you trying to find?
Side Length Angle Measure
Sin( angle ) = opp/hyp Sin­1( opp/hyp ) = angle
Cos( angle ) = adj/hyp Cos­1( adj/hyp ) = angle
Tan( angle ) = opp/adj Tan­1( opp/adj ) = angle
Do you know
Do you know
the hypotenuse?
the hypotenuse?
No Yes No Yes
Tan( ) Sin( ) Tan­1( ) Sin­1( )
Cos( ) Cos­1( )
4

5. Ch.14.1_TrigonometricFunctions.notebook March 01, 2012
Homework
Page 616
1­22 all
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