ANSWER
[tex] =\frac{19}{17} \pi[/tex]
EXPLANATION
To find a positive angle that is coterminal with
[tex] - \frac{15}{17} \pi[/tex]
We add multiples of 2π until we get a positive angle that is less than one revolution,
We add to obtain,
[tex] - \frac{15}{17} \pi + 2\pi[/tex]
This simplifies to,
[tex] = \frac{19}{17} \pi[/tex]
This is the first positive angle that is coterminal with
[tex] - \frac{15}{17} \pi[/tex]
and is less than one revolution.