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In triangle XYZ, we have angle X = 90 and tan Z = 3. What is cos Z?

 

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 Mar 14, 2021
 #1
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Buiding the right triangle, you can get that cos(Z) = 2*sqrt(2)/3.

 Mar 14, 2021
 #2
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For simplicity, let's just sat ZX = 1 and XY = 3, and that would make ZY = sqrt(10). 

Cos Z = ZX/ZY

cos z = 1/sqrt(10) = sqrt(10)/10. 

 

I hope this helped. :))

 

=^._.^=

 Mar 14, 2021

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