Solve omega_{0}*T_{0}=2pi

$$\omega _ { 0 } \cdot T _ { 0 } = 2 \pi$$

Solve for T_0

$$T_{0}=\frac{2\pi }{\omega _{0}}$$

$$\omega _{0}\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\omega _{0}T_{0}=2\pi$$

Divide both sides by \omega _{0}.

$$\frac{\omega _{0}T_{0}}{\omega _{0}}=\frac{2\pi }{\omega _{0}}$$

Dividing by \omega _{0} undoes the multiplication by \omega _{0}.

$$T_{0}=\frac{2\pi }{\omega _{0}}$$

Solve for ω_0

$$\omega _{0}=\frac{2\pi }{T_{0}}$$

$$T_{0}\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$T_{0}\omega _{0}=2\pi$$

Divide both sides by T_{0}.

$$\frac{T_{0}\omega _{0}}{T_{0}}=\frac{2\pi }{T_{0}}$$

Dividing by T_{0} undoes the multiplication by T_{0}.

$$\omega _{0}=\frac{2\pi }{T_{0}}$$