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

1 Answer

4 votes

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

User AsymmetryFan
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