Right-Triangle Trigonometry

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

Guest Mar 14, 2021

ElectricPavlov · Answer 1 · 2021-03-14T06:35:51

arctan (3) = 71.565

cos (71.565) =.31623

Here is the exact method:

tan = opp / adj pick opp = 3 then adj = 1 hypotenuse = sqrt (10) via Pythagorean theorem

cos = adj/hypot = 1/sqrt(10)

= sqrt 10 / 10