If sin θ = 2 over 7 and tan θ > 0, what is the value of cos θ?

Sin θ = 2 / 7

tan θ > 0

cos θ = ?

sin θ = opposite / hypotenuse

tan θ = opposite / adjacent

cos θ = adjacent / hypotenuse

short leg = opposite = 2

hypotenuse = 7

long leg = adjacent = ?

adjacent = √ (7² - 2²)

adjacent = √ (49 - 4)

adjacent = √45

adjacent = √9 * 5

adjacent = 3 √5

cos θ = adjacent / hypotenuse

cos θ = 3√5 / 7