Question

In AVWX, the measure of ZX=90°, VX = 5, WV = 13, and XW = 12. What ratiorepresents the cotangent of ZW?

Answer 1

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:

`\text{cot W=}\frac{\text{cos W}}{\sin \text{ W}}`

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

`\text{cos W=}(12)/(13),\text{ sin W=}(5)/(13)`

And then we can find the cotangent like this:

`\text{cot W=}(12/13)/(5/13)=(12)/(5)`

And then the final answer for this case would be cot