Question

if cosθ =-2/3, which of the following are possible?
A. csc θ= 3/√5 and tanθ = -√5/2
B. sin θ=-√5/3 and tanθ = √5/2
C. sinθ = √5/3 and tanθ = √5/2
D. csc θ= -3/2 and tanθ = √5/2

Answer 1

looking at sine/cosine wave curves
if cos - then sin my +or-
if sin+ then tangent = sin/cos - this eliminates C
the ratio doesn't work for D therefore elimanatee, csc = 1/sin
this leaves A and B and looking a ratio it has to be A

Answer 2

it was a and b thanks!

Answer 3

A