Trigonometric Equation Solver
Visualize and solve trigonometric equations effortlessly. Enter your equation and explore solutions within a given interval.
Trigonometric equation with 'x' as variable. Examples: sin(x) = cos(x), 2*sin(x)^2 - sin(x) - 1 = 0.
Start:
End:
Specify the interval [start, end] for solutions. Default: [0, 2π].
Solutions:
Visual Representation
Understanding Trigonometric Equation Solver
A trigonometric equation involves trigonometric functions like sine, cosine, tangent, etc., of a variable. This tool is designed to find the values of the variable that satisfy such equations within a specified interval.
How to Use:
- Enter Equation: Input your trigonometric equation in the field provided. Use 'x' as the variable.
Example:sin(x) = 0.5orcos(x) - sin(x) = 0. - Define Interval: Set the 'Interval Start' and 'Interval End' values. This defines the range within which the solver will search for solutions.
Example: Use0and6.28for the interval [0, 2π] radians. - Solve: Click the 'Solve Equation' button to calculate and display the solutions. A visual graph will also be generated if solutions are found, helping you understand the roots graphically.
- Reset & Copy: Use 'Reset' to clear all inputs and results. 'Copy Solutions' to copy the list of solutions to your clipboard for easy use.
This tool employs the bisection method for numerical root finding. Ensure correct equation syntax for accurate results. For equations with multiple solutions, all roots within the specified interval will be found.