How Can I Make θ the Subject of This Complex Mathematical Formula?

  • Context: Graduate 
  • Thread starter Thread starter otakwa
  • Start date Start date
  • Tags Tags
    Formula
Click For Summary
SUMMARY

The discussion focuses on the mathematical challenge of making θ the subject of the equation X = [cosθ + R(V-θ)-1.6364]-1. Participants highlight that an analytic solution for θ is not feasible due to the complexity of the equation. Instead, numerical methods or computational tools are necessary to derive a solution. It is also noted that the range for θ is restricted to [0, π], potentially further limited by the values of R and V.

PREREQUISITES
  • Understanding of trigonometric functions, specifically cosine.
  • Familiarity with algebraic manipulation of equations.
  • Knowledge of numerical methods for solving equations.
  • Experience with computational tools for mathematical analysis.
NEXT STEPS
  • Research numerical methods for solving nonlinear equations, such as the Newton-Raphson method.
  • Explore software tools like MATLAB or Python's SciPy for numerical computation.
  • Study the implications of domain restrictions in trigonometric equations.
  • Learn about graphing techniques to visualize solutions for complex equations.
USEFUL FOR

Mathematicians, engineering students, and anyone involved in computational mathematics or numerical analysis will benefit from this discussion.

otakwa
Messages
1
Reaction score
0
Help me make θ the subject of the formula in the following equation:

X = [cosθ + R(V-θ)-1.6364]-1]
 
Mathematics news on Phys.org
otakwa said:
Help me make θ the subject of the formula in the following equation:

X = [cosθ + R(V-θ)-1.6364]-1]


Het otakwa and welcome to the forums. I'll assume your equation is X = [cosθ + R(V-θ)^-1.6364] - 1.

The question I have for you is are you aware that you will only be able to get a value for θ to be in the range of [0,pi] and with the R and V it might even be more restricted.

For this particular equation you won't be able to get an analytic answer and you will need to use a computer to get the answer.

Have you ever done this kind of thing before?
 

Similar threads

Undergrad Relationship between the radius and area of liquid in a cylinder
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Proof of double angle formulas using Euler's equation
  • · Replies 2 ·
Replies
2
Views
3K
MHB How to Solve for r and θ in a Circle's Minor Arc and Sector Area Problem?
  • · Replies 7 ·
Replies
7
Views
4K
High School Can this equation be simplified?
  • · Replies 7 ·
Replies
7
Views
2K
MHB Angular and Linear Speed....Part 1
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad How Does cos(θ)sin(θ+φ)-sinθcos(θ+φ) Simplify to sinφ?
  • · Replies 4 ·
Replies
4
Views
2K
Dynamic system of self balancing robot
  • · Replies 4 ·
Replies
4
Views
1K
Graduate How Does U(1) Double-Cover SO(2) for a Specified Angle?
  • · Replies 2 ·
Replies
2
Views
2K
High School Has anyone seen this logarithmic spiral creation before?
  • · Replies 1 ·
Replies
1
Views
2K
MHB Goochie1234's questions at Yahoo Answers regarding polar/rectangular conversions
  • · Replies 1 ·
Replies
1
Views
3K