👤

Answer :

ANSWER

[tex]\begin{gathered} \text{ Positive coterminal angle = 460}\degree \\ \text{ Negative co-terminal angle = -260}\degree \end{gathered}[/tex]

EXPLANATION

GIven that;

The given angle is 100 degrees

Co-terminal angles are angles in standard position that have a common terminal side

[tex]\begin{gathered} \text{ Positive co-terminal angle= \lparen}\theta\text{ + 360\rparen} \\ \text{ Negative co-terminal angle = \lparen }\theta\text{ - 360\rparen} \end{gathered}[/tex][tex]\text{ Recall, that }\theta\text{ = 100}\degree[/tex][tex]\begin{gathered} \text{ positive co-terminal angle = 100 + 360} \\ \text{ Positive co-terminal angle = 460}\degree \\ \\ \text{ Negative co-terminal angle = 100 - 360} \\ \text{ Negative co-terminal angle = -260}\degree \end{gathered}[/tex]