Respuesta :

For this problem we have a right triangle WXV with the following info:

And we want to find: cot W

From definition we know that cotangent is the inverse of tangent and it's given by:

[tex]\text{cot W=}\frac{\text{cos W}}{\sin \text{ W}}[/tex]

From the info given we can find cos W and sin W and we got:

[tex]\text{cos W=}\frac{12}{13},\text{ sin W=}\frac{5}{13}[/tex]

And then we can find the cotangent like this:

[tex]\text{cot W=}\frac{12/13}{5/13}=\frac{12}{5}[/tex]

And then the final answer for this case would be cot