Need help solving tan(x)=kx/z^2 for constant k and dependent variable y?

  • Thread starter surajt88
  • Start date
Then you can solve for k since the other values are known. Once you have k, you can plug in any (x, z) values to find y.In summary, the conversation discusses the equation tan(y)=k\frac{x}{z^{2}}, where k is the constant of proportionality and x and z are independent constant values. The process to find the value of k and then use it to find y for given (x, z) values is explained.
  • #1
surajt88
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[itex]tan[/itex][itex]([/itex][itex]x[/itex][itex])[/itex][itex]=[/itex][itex]k[/itex][itex]\frac{x}{z^{2}}[/itex]

where k is the constant of proportionality, y varies according to x and z. x and z are independent constant values. I need to first find the value of the constant "k" and then find y for corresponding "x" and "z" values.
 
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  • #2
I think there might be a few typos in there. There is no "y" in your equation, and if "x" and "z" are "constant values", with "k" a "constant of proportionality", then the left side is a number (since the tangent of a constant number is constant), and the right side are all constant.
 
  • #3
Oops. First time with latex. My apologies. Here's the intended eqn.


[itex]tan[/itex][itex]([/itex][itex]y[/itex][itex])[/itex][itex]=[/itex][itex]k[/itex][itex]\frac{x}{z^{2}}[/itex]
 
  • #4
In order to find k, you must be given a single (x, y, z) point.
 
  • #5


I suggest approaching this problem by first rearranging the given equation to solve for k:
k = tan(x) * z^2 / x
Once the value of k is determined, it can be used to calculate y for any given x and z values. It is important to note that since y is dependent on both x and z, the values of x and z must be known in order to calculate y. Additionally, it may be helpful to plot the data points for x and y on a graph to visualize the relationship between the two variables and verify the calculated values.
 

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