Transcript File

Title: Trigonometric
Functions
LEQ: What are the
trigonometric functions and
how are they used to solve
right triangles?
The Trigonometric Functions
SINE
COSINE
TANGENT
Trigonometry:
SIN
COS
or
SOHCAHTOA
These functions are ONLY used
with RIGHT Triangles!!!
TAN
First identify the sides of the triangle
SOHCAHTOA
The longest side is called the…
Hypotenuse.
The side opposite to the angle is called the…
Opposite.
The remaining side is the…
HYP
Adjacent
x
ADJ
OPP
SINE
Prounounced
“sign”
COSINE
Prounounced
“co-sign”
TANGENT
Prounounced
“tan-gent”
Greek Letter q
Prounounced
“theta”
Represents an unknown angle
Opp
Sin 
Hyp
hypotenuse
Adj
Cos 
Hyp
Opp
Tan 
Adj
q
adjacent
opposite
opposite
SOHCAHTOA
Sinq  Opp
Hyp
Adj
Cosq 
Hyp
8
10
4

5
10
8
3
6

10
5
q
Opp 8  4
Tanq 
Adj 6 3
6
Find the sine, the cosine, and the tangent of angle A.
Give a fraction and decimal answer (round to 4 places).
10.8
9
A
9
opp

sin A 
hypo 10.8  .8333
adj
6
cos A 

hypo 10.8
 .5555
6
opp
tan A 
adj
9

6
 1.5
We need a way
to remember
all of these
ratios…
Some
Old
Hippie
Came
A
Hoppin’
Through
Our
Old Hippie Apartment
SOHCAHTOA
Old Hippie
Sin
Opp
Hyp
Cos
Adj
Hyp
Tan
Opp
Adj