this graph we can see that the number of leaves is still equal to k.
In this example k = 5 and there are 5 leaves. However, when
a is greater then b, the leaves to not reach the origin of the graph.
The graph is still symmetric acrosst he x - axis.
Now lets observe when b is greater than a.
Observe when a = 1, b = 2, and k = 5,
In this example where b is greater than a we can see that there are five smaller leaves inside of the five larger leaves. We can see that k is sill equal to the number of leves. This graph is also symmetric across the x - axis.
Now we will replace cos() with sin().
, where a = b = 1 and k = 5
we replace cos( ) with sin( ), we can see that our graph looks very
similar. The sin( ) graph is different from the cos( ) graph
becausethis graph is symmetric across the y - axis instead of being symmetric across the y - axis.
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