Respuesta :

Answer:  2

Step-by-step explanation:

[tex]sin\ \theta=\dfrac{2\sqrt{5}}{5}\\\\cos\ \theta=\dfrac{\sqrt{5}}{5}\\\\\\tan\ \theta=\dfrac{sin\ \theta}{cos\ \theta}=\dfrac{2\sqrt{5}}{\sqrt{5}}=2[/tex]

dhiab

Answer:

hello :  tan θ = 2

Step-by-step explanation:

given :

sin θ  = (2√5)/5    and cos θ = √5/5

tan θ = sin θ / cos θ =

        = ((2√5)/5) / √5/5

        = ((2√5)/5) ×5 /√5

simplifiy 5 and  √5

tan θ = 2