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Home >> Shape & Space - Sin, Cos, Tan Compared

 

Coursework Notes - Shape & Space

 

Sin, Cos, Tan - Compared

 

changing sign +/ -

sine curve

cosine curve

tangent curve

 

 

Changing sign of ratios with increasing angle

 

In turn, look at each ratio as the value of x and y changes with increasing angle.

 

 

sine equation       cosine equation       tan equation

 

sin,cos,tan #1

 

 

If you are not sure about sign division look back here

 

The results can be summarised in this diagram:

 

sin tan cos summary

 

 

 

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The Sine Curve

 

sine graph

 

note:

    1. the sine graph starts at zero

      2.  

    2. it repeats itself every 360 degrees

      3.  

    3. y is never more than 1 or less than -1

      4.  

    4. a sin graph 'leads' a cos graph by 90 degrees

 

 

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The Cosine Curve

 

cosine graph

 

 

note:

    1. the cosine graph starts at one

      2.  

    2. it repeats itself every 360 degrees

      3.  

    3. y is never more than 1 or less than -1

      4.  

    4. a cos graph 'lags' a sin graph by 90 degrees

 

 

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The Tangent Curve

 

tan graph

 

note:

    1. the tangent graph starts at zero

      2.  

    2. it repeats itself every 180 degrees

      3.  

    3. y can vary between numbers approaching infinity and minus infinity

 

 

 

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