Trig 1 lesson 4 sohcahtoa

DEFINING THE SINE, COSINE AND TANGENT RATIOS FOR ANGLES IN

RIGHT-ANGLED TRIANGLES

PART 4 – CHOOSING WHICH RATIO

CHOOSING THE RIGHT RATIO

CHOOSING THE RIGHT RATIO

CHOOSING THE RIGHT RATIO

Part of the skill of trigonometry is knowing which ratio to use for any given problem.

CHOOSING THE RIGHT RATIO

Part of the skill of trigonometry is knowing which ratio to use for any given problem.

Since each ratio is unique to the combination of two sides, once you know which two sides are involved in the problem, you can choose the ratio.

CHOOSING THE RIGHT RATIORemember:

→ SOH

CHOOSING THE RIGHT RATIORemember:

→ SOH → CAH

CHOOSING THE RIGHT RATIORemember:

→ TOA → SOH → CAH

CHOOSING THE RIGHT RATIORemember:

→ TOA → SOH → CAH

SOH

CHOOSING THE RIGHT RATIORemember:

→ TOA → SOH

→ CAHSOH CAH

CHOOSING THE RIGHT RATIORemember:

→ TOA → SOH → CAH

SOH CAH TOA

CHOOSING THE RIGHT RATIORemember:

→ TOA → SOH → CAH

SOH CAH TOA

CHOOSING THE RIGHT RATIORemember:

→ TOA → SOH → CAH

SOH CAH TOA

CHOOSING THE RIGHT RATIORemember:

→ TOA → SOH → CAH

SOH CAH TOA

CHOOSING THE RIGHT RATIORemember:

→ TOA → SOH → CAH

SOH CAH TOA

CHOOSING THE RIGHT RATIO

We can use SOHCAHTOA as our method of remembering the three ratios

CHOOSING THE RIGHT RATIO

We can use SOHCAHTOA as our method of remembering the three ratios

For any triangle problem we can identify which two sides we have information for

CHOOSING THE RIGHT RATIO

We can use SOHCAHTOA as our method of remembering the three ratios

For any triangle problem we can identify which two sides we have information for

Hence, we can decide which ratio to use

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

H

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

H

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

H

O

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

H

O

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

H

OA

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

H

OA

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

H

OA

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

H

OA

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OA

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OA

SOHCAHTOA

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OA

SOHCAHTOA

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OA

SOHCAHTOA

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OA

SOHCAHTOA

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OA

SOHCAHTOA

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OA

SOHCAHTOA X X

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OA

SOHCAHTOA

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OA

SOHCAHTOA

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OA

T O A

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OA

Tangent = O ATangent=

𝒈𝟐𝟏 .𝟔

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OATangent=

𝒈𝟐𝟏 .𝟔

Tangent = O A

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OATangent=

𝒈𝟐𝟏 .𝟔

T = Opposite A

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OATangent=

𝒈𝟐𝟏 .𝟔

T = O over A

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OATangent=

𝒈𝟐𝟏 .𝟔

T = O Adjacent

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OA

TOATangent=

𝒈𝟐𝟏 .𝟔

CHOOSING THE RIGHT RATIO

When given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides

Next, circle the two sides that have information

These two sides tell you which ratio to use, as only one ratio will contain both sides.

H

OATangent=

𝒈𝟐𝟏 .𝟔

CHOOSING THE RIGHT RATIO

CHOOSING THE RIGHT RATIO

SOHCAHTOA

CHOOSING THE RIGHT RATIO

SOHCAHTOA

CHOOSING THE RIGHT RATIO

A

HO

SOHCAHTOA

CHOOSING THE RIGHT RATIO

A

HO

SOHCAHTOA

CHOOSING THE RIGHT RATIO

A

HO

SOHCAHTOA

CHOOSING THE RIGHT RATIO

A

HO

SOHCAHTOA

CHOOSING THE RIGHT RATIO

A

HOTangent=

𝒔𝒕

SOHCAHTOA

CHOOSING THE RIGHT RATIO

A

HOTangent=

𝒔𝒕

SOHCAHTOA

CHOOSING THE RIGHT RATIO

A

HOTangent=

𝒔𝒕

SOHCAHTOA

CHOOSING THE RIGHT RATIO

CHOOSING THE RIGHT RATIO

SOHCAHTOA

CHOOSING THE RIGHT RATIO

SOHCAHTOA

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

𝐂os∈e=𝟏𝟗 .𝟏𝒇

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

𝐂os∈e=𝟏𝟗 .𝟏𝒇

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

𝐂os∈e=𝟏𝟗 .𝟏𝒇

CHOOSING THE RIGHT RATIO

CHOOSING THE RIGHT RATIO

SOHCAHTOA

CHOOSING THE RIGHT RATIO

SOHCAHTOA

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A𝐒∈e =

𝟒 .𝟒𝟑𝒕

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A𝐒∈e =

𝟒 .𝟒𝟑𝒕

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A𝐒∈e =

𝟒 .𝟒𝟑𝒕

CHOOSING THE RIGHT RATIO

CHOOSING THE RIGHT RATIO

SOHCAHTOA

CHOOSING THE RIGHT RATIO

H

O A

SOHCAHTOA

CHOOSING THE RIGHT RATIO

H

O A

SOHCAHTOA

CHOOSING THE RIGHT RATIO

H

O A

SOHCAHTOA

𝐂os∈e𝛉=𝟑𝟐 .𝟗𝟏𝟓𝟏

CHOOSING THE RIGHT RATIO

CHOOSING THE RIGHT RATIO

SOHCAHTOA

CHOOSING THE RIGHT RATIO

SOHCAHTOA

OA

H

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

OA

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

OA

𝐂os∈e=𝒄

𝟐𝟑 .𝟔

CHOOSING THE RIGHT RATIO

CHOOSING THE RIGHT RATIO

SOHCAHTOA

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

Tangent=𝟑 .𝟕𝟖𝒘

CHOOSING THE RIGHT RATIO

CHOOSING THE RIGHT RATIO

SOHCAHTOA

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

OA

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

OA

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

OA

𝐒∈e =𝒒

𝟕 .𝟑𝟐

CHOOSING THE RIGHT RATIO

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

𝐂os∈e=𝒄𝒇

CHOOSING THE RIGHT RATIO

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

𝐒∈e =𝒅𝒆

CHOOSING THE RIGHT RATIO

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

CHOOSING THE RIGHT RATIO

SOHCAHTOA

H

O

A

𝐒∈e 𝜃=𝟒 .𝟔𝟔𝟖 .𝟐𝟒

CHOOSING THE RIGHT RATIO

CHOOSING THE RIGHT RATIOSOHCAHTOA

H

OA

CHOOSING THE RIGHT RATIOSOHCAHTOA

H

OA

Tangent=𝟒𝟗 .𝟗𝟏𝟎𝟎

CHOOSING THE RIGHT RATIO

Remember:

CHOOSING THE RIGHT RATIO

Remember:Label the sides H, O and A

CHOOSING THE RIGHT RATIO

Remember:Label the sides H, O and A

Circle the two sides with information

CHOOSING THE RIGHT RATIO

Remember:Label the sides H, O and A

Circle the two sides with information

Choose the correct ratio