Triangles Trig

Question

If sin(theta)= -2/3, which of the following are possible?  Check all that apply.

 

A) cos(theta)= (√5)/3 and tan(theta)=2/√5

B) cos(theta)= -(√5)/3 and tan(theta)=2/√5

C) sec(theta)= 3/√5 and tan(theta)= -2/√5

D)sec(theta)=-3/2 and tan(theta)=2/√5

 

I am having trouble.  I know that on the triangle the hypotenuse =3 because sin=opposite/hypotenuse 

 

I also used Pythagorean theorem to find that one leg of the triangle is √5.

 

I chose A,B,and C and being correct, but I am not positive in my answer.  

Answer 1

Cece, you are doing the right thing.