Step 1: Problem
sint = -1
Step 2: Concept and method
[tex]\begin{gathered} \sin \text{ t = -1} \\ \text{Next find the inverse of sin} \\ t\text{ = }\sin ^{-1}(-1) \\ t\text{ = -90} \end{gathered}[/tex]Step 3: Final answer
[tex]\text{Therefore, the value of t in the interval 0}\leq\text{ t }\leq\text{ 2}\pi\text{ = 0 }\leq\text{ t }\leq\text{ 360}[/tex]t = 270