Use the appropriate compound angle formula to determine exact values

Tan (pi/3-pi/6)

Question

Use the appropriate compound angle formula to determine exact values

Tan (pi/3-pi/6)

karlaltr · Answer

Tan(pi/3)-tan(pi/6)
--------------------------
1-tan(pi/3)tan(pi/6)

holsteremission · Answer

Looks like you've got it... Do you know the values of $\tan\dfrac{\pi}{3}$ and $\tan\dfrac\pi6$?

karlaltr · Answer

Im not sure how to find those values :/

mathmale · Answer

Those 2 values of the tangent function are important to know, and thus worth the time and effort to learn.

pi/6 = 30 degrees.     tan pi/6 = tan 30 deg = [sin 30] / [cos 30] = 1/2 over sqrt(3)/2.

What 's your final result here, after reduction of the last fraction?

holsteremission · Answer

^That should be enough to finish the problem. Not sure why you're asked to use the compound angle formula, since $\dfrac\pi3-\dfrac\pi6=\dfrac\pi6$, but I suppose you should still practice and know the formula...