Question

An acute angle theta is in a right triangle with sin theta 3/4. What is the value of cot theta

Answer 1

CotΘ=(3√7)/7 i hope this helped you

Answer 2

Answer:

cot θ = $\sqrt{7} /3$

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:

$cathet^{2}= 4^{2} -3^{2} \\cathet^{2} =16-9\\cathet^{2} =7\\cathet=\sqrt{7}$

So the adjacent side is $\sqrt{7}$

Now, we know that cot θ = adjacent side / opposite side. Therefore:

cot θ = $\sqrt{7} /3$