If tan (arc cos radical3/k)=radical3/3 then k is?

Question

mertsj · Answer

We know the tangent of some angle is sqrt3/3.  What is that angle?

anonymous · Answer

ok thn wat? I dnt gt it

myininaya · Answer

Ok How about this?
Look at arccos(radical 3/k)
Label this part y or whatever.
So we have $$y=\arccos(\frac{\sqrt{3}}{k})$$
which means $$\cos(y)=\frac{\sqrt{3}}{k} $$
Label a right triangle with the adjacent side of y being length sqrt(3)
and label the hyp with the length k.
Then find the opposite side of the angle y using the Pythagorean Theorem.

myininaya · Answer

Then find tan(y) (which we also know as $$\tan(\arccos(\frac{\sqrt{3}}{k}))$$)

myininaya · Answer

then compare that value with the other side of the equation.

myininaya · Answer

you will have an algebraic equation.