Search for notes by fellow students, in your own course and all over the country.
Browse our notes for titles which look like what you need, you can preview any of the notes via a sample of the contents. After you're happy these are the notes you're after simply pop them into your shopping cart.
Document Preview
Extracts from the notes are below, to see the PDF you'll receive please use the links above
Notes for Trigonometry
Trig Functions:
Sine
Cosine
Tangent
All Trig functions are used for right triangles only
...
Sine x° =
length leg opposite of angle
length of hypotenuse
Leg adjacent
of angle x
length of leg adjacent of angle
length of hypotenuse
length of leg opposite of angle
Tangent x° =
length of leg adjacent of angle
Cosine x° =
x°
Hypotenuse
y°
Leg opposite
of angle x
If you use a different angle, then the adjacent and opposite legs reverse
...
Mnemonic for remember the trig functions
SOHCAHTOA
S-Sine
O-Opposite leg
H-Hypotenuse
C-Cosine
A-Adjacent leg
H-Hypotenuse
T-Tangent
O-Opposite leg
A-Adjacent leg
Opposite leg
Hypotenuse
Adjacent leg
Cos x° =
Hypotenuse
Opposite leg
Tan x° =
Adjacent leg
Sin x° =
Since Trig is done with angles and angles are measured in degrees, then the calculator set in the
right mode
...
Calculators have 3 modes; grad, rad, and deg
...
In TI graphing
calculators the mode is found using the mode key, and the second line you will find the deg
...
If you have a different calculator, then consult the manual or
ask a math teacher to help you
...
There are two types of trig problems
...
Each one is worked a different way, so look at the examples carefully
...
This allows
us to set up the following equation
...
cos x° =
3
12
To solve this find cos −1 ,
then type in fraction (3 / 12 )
...
x = 76°
Example 2
Find x
...
This allows use to set
up the following equation
...
12
x
21°
x
12
x = 12 ⋅ (sin 21°)
x = 12 ⋅ (
...
3004
sin 21° =
Example 3
Find x
...
7431)
x = 26
...
Equation
cross multiply
divide each side by cosine 42 degrees
find cosine of 42 degrees
divide, round to the nearest ten thousandths
Using Tangent
x
63°
8
x
8
x = 8 ⋅ (tan 63°)
x = 8 ⋅ (1
...
7009
tan 63° =
Because the hypotenuse and the side
adjacent the 42° angle is given, the trig
function using those 2 pieces of
information is cosine
...
Once the
equation is set, then solve the proportion
...
This allows use to
set up the following equation
...
Equation
cross multiply
find tangent of 63 degrees
multiply, round to the nearest ten thousandths