The cotangent graph has vertical asymptotes at each value of
where
we show these in the graph below with dashed lines. Since the cotangent is the reciprocal of the tangent,
has vertical asymptotes at all values of
where
and
at all values of
where
has its vertical asymptotes.
The cotangent function
Features of the graph of
y =
A Cot(
Bx )
The stretching factor is
The period is
The domain is
where
is an integer.
The range is
The asymptotes occur at
where
is an integer.
is an odd function.
Graphing variations of
y = cot
x
We can transform the graph of the cotangent in much the same way as we did for the tangent. The equation becomes the following.
Properties of the graph of
y =
A Cot(
Bx −c)+
D
The stretching factor is
The period is
The domain is
where
is an integer.
The range is
The vertical asymptotes occur at
where
is an integer.
There is no amplitude.
is an odd function because it is the quotient of even and odd functions (cosine and sine, respectively)
Given a modified cotangent function of the form
graph one period.
Express the function in the form
Identify the stretching factor,
Identify the period,
Draw the graph of
Plot any two reference points.
Use the reciprocal relationship between tangent and cotangent to draw the graph of
Sketch the asymptotes.
Graphing variations of the cotangent function
Determine the stretching factor, period, and phase shift of
and then sketch a graph.
Step 1. Expressing the function in the form
gives
Step 2. The stretching factor is
Step 3. The period is
Step 4. Sketch the graph of
Step 5. Plot two reference points. Two such points are
and
Step 6. Use the reciprocal relationship to draw
Step 7. Sketch the asymptotes,
The orange graph in
[link] shows
and the blue graph shows
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
Abdullahi
cell theory state that every organisms composed of one or more cell,cell is the basic unit of life
Abdullahi
is like gone fail us
DENG
cells is the basic structure and functions of all living things
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
