×

# Find expressions for x and y in terms of theta

Given that $$(x,y)$$ is a point, $$r$$ is the length of a line segment joining the origin to that point, $$\theta$$ is the angle between the line segment and the line $$y=0$$ and the following three equations:

$$x=a \cos\left( {\omega t} \right)+\sqrt{a^2-b^2}$$

$$y=b \sin\left( {\omega t} \right)$$

$$r^2 \equiv x^2+y^2$$

Find seperate expressions for $$x$$ and $$y$$ in terms of $$\theta$$, $$a$$ and $$b$$

Note: $$\theta$$ is not always equal to $$\omega t$$

Note by Jack Han
1 year, 5 months ago