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Basic Trigonometric Ratios, Study notes of Geometry

Geometry

Gives a brief explanation of the different parts of a triangle and SOHCAHTOA. And 3 practice problems

Typology: Study notes

2020/2021

Uploaded on 02/05/2023

unknown user 🇺🇸

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3/2/21

Geometry

Aim

:

What

are

the

three

basic

trigonometric

ratios

?

Do

Now

:

The

solution

set

for

the

equation

✗

2-2×-15=0

is

(

✗

+

3)

(

x

-

5)

=O

✗

+3=0×-5--0

✗

=-3

✗

=

5

Ratio

of

the

sides

of

right

triangles

are

called

trigonometric

ratio

The

three

basic

trigonometric

ratio

that

we

will

explore

will

be

the

sine

,

cosine

,

and

tangent

ratios

.

Sin

cos

tan

hypotenuse

-

is

always

opposite

the

right

angle

A

adjacent

hypotenuse

adjacent

-

is

the

side

that

is

the

angle

we

are

referring

to

opposite

Opposite

-

is

the

side

across

the

angle

we

are

referring

to

hyp

.

Opp

.

A

adj

.

Opposite

Adjacent

opposite

Sin

Cosine

Tan g en t

S

O

H

C

A

H

T

0

A

Hypotenuse

Adjacen t

i

p

y

0

d

y

a

p

d

n

p

.

S

j

p

.

h

p

j

.

e

i

a

cosine

=

adjacent

n

sine

=

Opposite

hypotenuse

tangent

-_

Opposite

hypotenuse

adjacent

e

Find

the

sine

,

cosine

,

and

tangent

of

each

Find

the

sine

,

cosine

,

and

tangent

of

each

sine

LA

=

¥3

sine

<

A-

=

,=%

g

OPP

'

g

ad

:

'

12

adj

.

Cosine

<

A

=

¥,=§g

A

◦

pp

.

Cosine

<

A

=

At

=

#

'

3

hyp

.

13

hyp

.

A

Tan g en t

<

A=¥=¥

Tan g en t

<

A=-

=

%

Partial preview of the text

Download Basic Trigonometric Ratios and more Study notes Geometry in PDF only on Docsity!

Geometry

Aim:

What are the three

basic

trigonometric

ratios?

Do

Now : The

solution set

for the equation

✗ 2-2×-15=0 is

(✗

( x

1. =O

✗ +3=0×-5--

=

Ratio

of

the sides

of

right triangles

are called

trigonometric

ratio

The three basic trigonometric

ratio

that

we will

explore

will be the sine ,

cosine ,

and

tangent

ratios

.

Sin cos tan

hypotenuse

is

always opposite

the

right

angle

A

adjacent

hypotenuse

adjacent

is the side that is next to

the angle

we are referring

to

opposite

Opposite

is the side across the

angle

we are referring

to

hyp .

Opp

.

A

adj

.

Opposite Adjacent opposite

Sin

Cosine

Tangent

S O H

C

A

H

T

0 A

Hypotenuse Hypotenuse

Adjacent

i

p y

0 d

y

a

p

d

n

p

.

S

j

p

. h

p

j

.

e i a

cosine

= adjacent n

sine

= Opposite

hypotenuse

tangent

_

Opposite

hypotenuse adjacent

e

Find the

sine ,

cosine ,

and

tangent

of

each

Find the

sine ,

cosine ,

and

tangent

of

each

sine

LA

=

= ¥ 3

sine

< A-

=

,=%

g

OPP

'

g

ad

'

adj .

Cosine < A =

¥,=§g

A

◦

pp

.

Cosine < A =

At

=

' 3

hyp

.

hyp

.

A

Tangent

A=¥=¥

Tangent

A=-

=

%

B

sinA=,=¥

SinB=3÷

hyp

.

Cos

B.

=

COSA

__

F-

=

3 ¥ -3g

tanA==¥

A tanB=¥

adj

.

C

Opp

.

Basic Trigonometric Ratios, Study notes of Geometry

Related documents

Partial preview of the text

Download Basic Trigonometric Ratios and more Study notes Geometry in PDF only on Docsity!

Aim:

What are the three

trigonometric

ratios?

Do

solution set

✗ 2-2×-15=0 is

✗ +3=0×-5--

Ratio

of

the sides

of

are called

ratio

ratio

that

explore

and

ratios

right

A

is the side that is next to

is the side across the

Opp

A

Cosine

S O H

C

A

H

T

0 A

Adjacent

i

p y

0 d

y

p

d

p

p

S

p

p

j

= adjacent n

= Opposite

hypotenuse

Opposite

Find the

and

of

each

Find the

and

of

each

sine

LA

sine

< A-

g

Cosine < A =

A

pp

Cosine < A =

A

B

sinA=,=¥

SinB=3÷

hyp

hyp

Cos

B.

COSA

F-