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

  • Context: Undergrad 
  • Thread starter Thread starter surajt88
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Discussion Overview

The discussion revolves around the equation tan(y) = k * (x/z²), where k is a constant of proportionality, and y varies with respect to x and z. Participants explore how to determine the value of k and subsequently find y for given values of x and z. The context includes mathematical reasoning and problem-solving related to the equation.

Discussion Character

  • Mathematical reasoning, Homework-related

Main Points Raised

  • One participant presents the equation tan(y) = k * (x/z²) and seeks to find k and y based on values of x and z.
  • Another participant points out potential typos and questions the consistency of the equation, noting that if x and z are constants, the left side would also yield a constant value.
  • A later reply clarifies the equation, confirming that y is the dependent variable and acknowledges the initial confusion with LaTeX formatting.
  • One participant asserts that to find k, a specific point (x, y, z) must be provided.

Areas of Agreement / Disagreement

Participants express differing views on the initial formulation of the equation, with some confusion regarding the roles of the variables. There is no consensus on how to proceed without additional information about the values of x, y, and z.

Contextual Notes

The discussion highlights the need for clarity in variable definitions and the importance of having specific data points to solve for k. The dependency of y on x and z is noted, but the implications of this relationship remain unresolved.

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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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.
 
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]
 
In order to find k, you must be given a single (x, y, z) point.
 

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