Answer:
-0.55
Step-by-step explanation:
Use trig identity:
[tex]1+ cot^2t = \frac{1}{sin^2t}[/tex]
[tex]1+2.25 = \frac{1}{sin^2t}[/tex]
[tex]sin^2t = \frac{1}{3.25}[/tex]
[tex]sin t = + \frac{1}{1.80}[/tex]
Since t is in quadrant III, then sin t is negative
[tex]sint = - \frac{1}{1.8} =-0.55[/tex]
