Question

Given that sin theta = (2 square root 5)5 and cos theta = square root 5/5, find tan theta

Answer 1

hello : tan θ = 2

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

Answer 2

Answer: 2

Explanation:

`sin\ \theta=(2√(5))/(5)\\\\cos\ \theta=(√(5))/(5)\\\\\\tan\ \theta=(sin\ \theta)/(cos\ \theta)=(2√(5))/(√(5))=2`