In \(\triangle XYZ\), we have \(\angle X = 90^\circ\) and \(\tan Z = 3\). What is \(\cos Z\)?
Answer with an exact number
Since tan = opposite / adjacent -- If the tan(Z) = 3 = 3/1
---> opposite = 3 (or a multiple thereof) and adjacent = 1 (or the same multiple thereof)
This means that the hypotenuse is: h2 = 32 + 12 = 10
---> hypotenuse = sqrt(10) (or the same multiple thereof)
cos(Z) = adjacent / hypotenuse = 1 / sqrt(10)