Question

What is a coterminal angle of 20 pi over three

Answer 1

The coterminal angles of θ can be calculated using the formula:

`\theta+2\pi n`

Where n = 0, ±1, ±2, etc. In particular, for θ = 20π/3 and n = -3:

`\begin{gathered} (20\pi)/(3)-2\pi\cdot3=(20\pi-18\pi)/(3) \\ \\ \therefore(2\pi)/(3)=120\degree \end{gathered}`