Question

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

Answer 1

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

Answer 2

ok thn wat? I dnt gt it

Answer 3

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.

Answer 4

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

Answer 5

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

Answer 6

you will have an algebraic equation.