Diameter = 3 feet circumference =?
2 answers:
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Given:
The objective is to find the slope of the straight line.
Explanation:
The general equation to find the slope is,
Let's consider two coordinates from the graph.
On plugging the values in the equation of slope,
Hence, the slope of the straight line is -5.
This is not an identity but an equation. You're supposed to find the values of for which this is true. It is *not* true for all values of
.
To see why:
has period
, which means
.
The angle sum identity for says that
So
By definition of ,
and so
which is only 0 if either (which only happens for certain values of
) or
(which also only happens for certain values of
). It's these values of
you want to find.
whenever
is a multiple of
, i.e.
for any integer
.
If , then
is true for
and
. Then to account for all other possible values, we add a multiple of
, so that
or
for integers
.