Answer:
2/3
Step-by-step explanation:
sinθ is opposite/hypotenuse (soh cah toa)
If given what sinθ is, you have the opposite leg to θ and the hypotenuse. It helps to draw a triangle. You can figure out the adjacent leg using the pythagorean theorem. [tex]3^{2}[/tex]-[tex](\sqrt{5} )^{2}[/tex] = 4
Square root 4 to find the adjacent leg, 2.
To find cosθ, which is adjacent over hypotenuse, substitute in the respective numbers, which gives you 2/3.