That is correct.
Sqrt 5 x sqrt20
Apply the radical rule to get sqrt( 5 x 20)
Simplify to get sqrt(100)
Sqrt(100) = 10
Sin θ = opposite leg/hypotenuse
csc θ = hypotenuse /opposite leg =8/7
cot <span>θ = adjacent leg/opposite leg
hypotenuse =8
opposite leg =7
We need to find adjacent leg.
(Opposite leg)² +(adjacent leg)² = hypotenuse²
7² + </span>(adjacent leg)² =8²
(adjacent leg)² = 64 - 49
(adjacent leg)² = 15
adjacent leg=+/-√15
<span>WE need only positive root,
so </span>adjacent leg =√15
cot θ = √15/7 or 0.5533<span>
</span>
1x12 2x6 3x4 those are all the factors of 12