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# Trig 1 lesson 4 sine

## on Jul 14, 2011

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Defining the Sine ratio in Trigonometry.

Defining the Sine ratio in Trigonometry.

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## Trig 1 lesson 4 sinePresentation Transcript

• Defining the sine, cosine and tangent ratios for angles in right-angled trianglesPart 1 - Sine
• The Sine Ratio
• The Sine Ratio
πineπ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
Β
• The Sine Ratio
The sine of an angle is defined as the ratio between the Opposite and Hypotenuse:
πineπ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
Β
• The Sine Ratio
The sine of an angle is defined as the ratio between the Opposite and Hypotenuse:
πineπ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
Β
• The Sine Ratio
The sine of an angle is defined as the ratio between the Opposite and Hypotenuse:
πineπ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
Β
• The Sine Ratio
The sine of an angle is defined as the ratio between the Opposite and Hypotenuse:
πineπ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
Β
• The Sine Ratio
The sine of an angle is defined as the ratio between the Opposite and Hypotenuse:
πineπ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
Β
• The Sine Ratio
The sine of an angle is defined as the ratio between the Opposite and Hypotenuse:
πineπ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
Β
• The Sine Ratio
The sine of an angle is defined as the ratio between the Opposite and Hypotenuse:
πineπ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
Β
Remember:
• The Sine Ratio
The sine of an angle is defined as the ratio between the Opposite and Hypotenuse:
πineπ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
Β
Remember:
• The Sine Ratio
The sine of an angle is defined as the ratio between the Opposite and Hypotenuse:
πineπ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
Β
S
Remember:
• The Sine Ratio
The sine of an angle is defined as the ratio between the Opposite and Hypotenuse:
πineπ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
Β
S
Remember:
• The Sine Ratio
The sine of an angle is defined as the ratio between the Opposite and Hypotenuse:
πineπ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
Β
SO
Remember:
• The Sine Ratio
The sine of an angle is defined as the ratio between the Opposite and Hypotenuse:
πineπ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
Β
SO
Remember:
• The Sine Ratio
The sine of an angle is defined as the ratio between the Opposite and Hypotenuse:
πinππ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
Β
SOH
Remember:
• The Sine Ratio
Remember: SOH
• The Sine Ratio
Remember: SOH
• The Sine Ratio
Remember: SOH
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Β
• The Sine Ratio
Remember: SOH
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Β
• The Sine Ratio
Remember: SOH
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Β
• The Sine Ratio
Remember: SOH
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Β
Opposite
• The Sine Ratio
Remember: SOH
Remember: SOH
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Β
Opposite
• The Sine Ratio
Remember: SOH
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Β
Hypotenuse
Opposite
• The Sine Ratio
Remember: SOH
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Β
Hypotenuse
Opposite
• The Sine Ratio
Remember: SOH
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Β
Hypotenuse
Opposite
• The Sine Ratio
Remember: SOH
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Β
Hypotenuse
Opposite
• The Sine Ratio
Remember: SOH
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Β
Hypotenuse
Opposite
• The Sine Ratio
Remember: SOH
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Β
Hypotenuse
Opposite
• The Sine Ratio
Remember: SOH
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Β
Hypotenuse
Opposite
• The Sine Ratio
Remember: SOH
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Β
Hypotenuse
Opposite
• The Sine Ratio
Remember: SOH
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Β
Hypotenuse
Opposite
• The Sine Ratio
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• The Sine Ratio
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• The Sine Ratio
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πineπ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
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πineο¦=π.πππ―
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πineο’=ππ.ππ
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• The Sine Ratio
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πineπ=π.πππ.ππ
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πineο‘=ππ
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πineπ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
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πineο¦=π.πππ
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πineο’=ππ.ππ
Β
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• The Sine Ratio
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πineπ=π.πππ.ππ
Β
πineο‘=ππ
Β
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πineπ=πππππ ππ‘ππ―π¦πππ‘πππ’π π
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πineο¦=π.πππ
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πineο’=ππ.ππ
Β
ο’
• The Sine Ratio
Remember:
πΊππππ=πΆππππ ππ‘ππ―π¦πππ‘πππ’π π ->SOH
Β
• The Sine Ratio
Remember:
πΊππππ=πΆππππ ππ‘ππ―π¦πππ‘πππ’π π ->SOH
Β
• The Sine Ratio
Remember:
πΊππππ=πΆππππ ππ‘ππ―π¦πππ‘πππ’π π->SOH
Β
• The Sine Ratio
Remember:
πΊππππ=πΆππππ ππ‘ππ―π¦πππ‘πππ’π π ->SOH
Β
• The Sine Ratio
Remember:
πΊππππ=πΆππππ ππ‘ππ―π¦πππ‘πππ’π π ->SOH
Β
• The Sine Ratio
Remember:
πΊππππ=πΆππππ ππ‘ππ―π¦πππ‘πππ’π π ->SOH
Β
• The Sine Ratio
Remember:
πΊππππ=πΆππππ ππ‘ππ―π¦πππ‘πππ’π π ->SOH
Β