Answer:
[tex]\sin( 115 \degree) = 0.906[/tex]
Step-by-step explanation:
The general point on a unit circle is given by
[tex]x = \cos( \theta) [/tex]
[tex]y = \sin( \theta) [/tex]
where
[tex] \theta = 115 \degree[/tex]
is the terminal side of the angle in standard position.
Therefore
[tex]x = \cos( 115 \degree) [/tex]
[tex]y = \sin(115 \degree) [/tex]
lies on this circle
This angle intersects the unit circle at
[tex]( - 0.423,0.906)[/tex]
Hence we must have
[tex] \cos( 115 \degree) = - 0.463[/tex]
[tex]\sin( 115 \degree) = 0.906[/tex]
