Algebra Examples

$x = \frac{1}{2} \cos (θ)$ and $y = \frac{1}{3} \sin (θ)$

Step 1

Set up the parametric equation for $x (t)$ to solve the equation for $t$ .

$x = \frac{1}{2} \cdot \cos (θ)$

Step 2

Simplify the right side.

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Step 2.1

Combine $\frac{1}{2}$ and $\cos (θ)$ .

$x = \frac{\cos (θ)}{2}$

Step 3

Replace $t$ in the equation for $y$ to get the equation in terms of $x$ .

$y = \frac{1}{3} \cdot \sin (θ)$

Step 4

Combine $\frac{1}{3}$ and $\sin (θ)$ .

$y = \frac{\sin (θ)}{3}$