Respuesta :

Given:

[tex]-\frac{7\pi}{12}[/tex]

Here, we are to find an angle that is positive and less than 2π.

All we have to do is to add 2π to -7π/12

The angle between 0 and 2π that is coterminal to the angle above will be:

[tex]\begin{gathered} -\frac{7\pi}{12}+2\pi \\ \\ =\frac{-7\pi+24\pi}{12} \\ \\ =\frac{17\pi}{12} \end{gathered}[/tex]

ANSWER:

[tex]\frac{17\pi}{12}[/tex]