Coursework Notes - Shape & Space

Sin, Cos, Tan - Compared

 changing sign +/ - sine curve cosine 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.

If you are not sure about sign division look back here

The results can be summarised in this diagram:

The Sine Curve

note:

 the sine graph starts at zero   it repeats itself every 360 degrees   y is never more than 1 or less than -1   a sin graph 'leads' a cos graph by 90 degrees

The Cosine Curve

note:

 the cosine graph starts at one   it repeats itself every 360 degrees   y is never more than 1 or less than -1   a cos graph 'lags' a sin graph by 90 degrees

The Tangent Curve

note:

 the tangent graph starts at zero   it repeats itself every 180 degrees   y can vary between numbers approaching infinity and minus infinity

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