paulrl2127 paulrl2127
  • 22-06-2020
  • Mathematics
contestada

Evaluate cosθ if sinθ = sqrt5/3

Respuesta :

user234509 user234509
  • 22-06-2020

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.

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