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Deciding which ratio to use in Trigonometry.Small changes between slides so can be clicked through quickly.
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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
