Answer:
[tex]tan(x/2)=-4[/tex]
Step-by-step explanation:
we know that
The angle x belong to the III quadrant -----> given problem
step 1
Find the angle x
[tex]x=arctan(8/15)=28.07\°[/tex]
Remember that the angle x belong to the III Quadrant
so
[tex]x=28.07\°+180\°=208.07\°[/tex]
step 2
Find angle x/2
[tex]x/2=208.07\°/2=104.035\°[/tex]
step 3
Find tan(x/2)
[tex]tan(104.035\°)=-4[/tex]
