Answer:
cot θ = [tex]\sqrt{7} /3[/tex]
Step-by-step explanation:
sin θ = opposite side / hypotenuse
Therefore, in this triangle:
opposite side = 3 and hypotenuse = 4
To find the other cathet we are going to use the Pythagorean Theorem:
[tex]cathet^{2}= 4^{2} -3^{2} \\cathet^{2} =16-9\\cathet^{2} =7\\cathet=\sqrt{7}[/tex]
So the adjacent side is [tex]\sqrt{7}[/tex]
Now, we know that cot θ = adjacent side / opposite side. Therefore:
cot θ = [tex]\sqrt{7} /3[/tex]
