Question

What is tan(A)?
Remember to rationalize the denominator.
(Please Help)

Answer 1

`(2 √(5))/(5)`

Explanation:

As given by SOH-CAH-TOA

tan is equal to opposite/adjacent.

therefore for A, the opposite would be equal to 2, and adjacent would be equal to
`√(5)` as the hypotenuse is never referred to as an adjacent side. so the answer would be tan(A) =
`(2)/(√(5))` however, to rationalize the denominator you must multiply the fraction by
`(√(5) )/(√(5) )` .

`(2)/(√(5)) *(√(5))/(√(5)) = (2 * √(5))/(√(5) *√(5))`

then simplify

`(2 √(5))/(5)`