Equation of a Helix: Find Answers to Parametric Equations

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SUMMARY

The equation of a double helix is represented by the parametric equations x = a cos(t), y = a sin(t), and z = b t, where 'a' is the radius and 'b' is the vertical spacing between turns. The general parametric equations for a helix are x = r cos(θ), y = r sin(θ), and z = aθ, with θ being the angle with respect to the x-axis. It is important to note that a double helix cannot be expressed as a single function due to its two distinct z values for each (x, y) pair.

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NEWO
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I am looking to find the equation of a helix, now I know that a double helix is given in terms of 3 parametric equations

x=acost, y=asint, z=bt

I just would like to know the answers to 2 of my own questions.

a) What is the resulting equation for the double helix,
b) what are the parametric equations.

I have totally forgotten about parametric equations lol.

Also this is not homework of any kind, just for my own reference.

Thanks for any help it is appreciated

newo
 
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The parametric equations for a hleix are
x= r cos(\theta)
y= r sin(\theta)
z= a\theta
where \theta is the angle the point (x,y,z) makes with the x-axis (projected to the xy-plane) and a is a constant. Since a point on the "double helix" has two different z values for a given x, y value, z you cannot expect to write it as a single function by as two distinct functions.
 

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