1. The problem statement, all variables and given/known data
Dear all,
I want to simplify an equation using Taylor series expansions but I do not know how to do it.
Can someone help me?
2. Relevant equations
The euqation is as follows:
X = [itex]e \cos\theta + \sqrt{(R^2 - e^2 \sin^2 \theta)}[/itex]
X = distance
e = eccentricity
theta = angle
R = radius
3. The attempt at a solution
I think the above equation can be simplified using Taylor series expansion in terms of [itex]\sin^2 \theta[/itex].
Dear all,
I want to simplify an equation using Taylor series expansions but I do not know how to do it.
Can someone help me?
2. Relevant equations
The euqation is as follows:
X = [itex]e \cos\theta + \sqrt{(R^2 - e^2 \sin^2 \theta)}[/itex]
X = distance
e = eccentricity
theta = angle
R = radius
3. The attempt at a solution
I think the above equation can be simplified using Taylor series expansion in terms of [itex]\sin^2 \theta[/itex].
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