Question

Evaluate cosθ if sinθ = sqrt5/3

Answer 1

2/3

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.
`3^(2)`-
`(√(5) )^(2)` = 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.