Solve for θ in terms of y, then plug that into the equation for x. It's still not pretty.dako said:Homework Statement
How may I convert this from parametric to cartesian equation?
Homework Equations
x = 2(θ − sen θ)
y = 2(1 − cos θ)
The Attempt at a Solution
I have a problem finding θ from x = 2(θ − sen θ), I don't know how to do it..
θ is a variable in mathematics that represents an angle.
Sen θ is a trigonometric function, also known as the sine function, that calculates the ratio of the opposite side of an angle to the hypotenuse in a right triangle.
The value of x is determined by the equation x = 2(θ - sen θ), where θ is the angle and sen θ is the sine function of that angle.
To solve for θ in this equation, you can use algebraic manipulation and trigonometric identities. First, distribute the 2 to both terms inside the parentheses. Then, use the inverse sine function to isolate θ. The resulting equation will be θ = arcsin(x/2) + sen θ.
Yes, θ can have multiple values in this equation. Since the sine function has a periodic nature, there are infinitely many angles that can satisfy the equation. However, in most cases, the solution is limited to a specific range, such as 0 to 2π or -π/2 to π/2.