if cos theta=-2/3, which of the following are possible?

Answer:
The answer to your question are A and D
Step-by-step explanation:
If cos Ф = -2/3 means that
adjacent side = -2 and hypotenuse = 3
Opposite side = [tex]\sqrt{3^{2} - (-2)^{2}}[/tex] = [tex]\sqrt{5}[/tex]
With this information, this angle can be in the second and in the third quadrangle.
sin Ф can be [tex]\sqrt{5}/3[/tex] or sin Ф = [tex]\frac{- \sqrt{5}}{3}[/tex]
tan Ф[tex]-\frac{\sqrt{5}}{2}[/tex] or tan Ф = [tex]\frac{\sqrt{5}}{2}[/tex]
csc Ф = [tex]\frac{3}{\sqrt{5}}[/tex] or csc Ф = [tex]\frac{-3}{\sqrt{5}}[/tex]