## lyubas Group Title If tan (arc cos radical3/k)=radical3/3 then k is? 8 months ago 8 months ago

1. Mertsj

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

2. lyubas

ok thn wat? I dnt gt it

3. myininaya

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.

4. myininaya

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

5. myininaya

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

6. myininaya

you will have an algebraic equation.