 In this video, we provide the solution to question number one for the practice exam number one for math 1060 And we're asked to give the exact value of tangent of 30 degrees now notice on this exam There are no calculators for this question. So we have to do this without our calculator That's what we're given the special angle 30 degrees So the first thing to do is recognize that tangent of 30 degrees is just sine of 30 degrees divided by cosine of 30 degrees in which case we have memorized Sine and cosine evaluated at the special angle of 30 degrees sine of 30 degrees is one half and Cosine at 30 degrees is the square root of three over two Since we have a fraction divided by a fraction. Let's multiply by the reciprocal You'll notice that there's a two on top and a two on bottom that cancels out and that Simplifies just to give us the ratio one over the square root of three now as we search among the answers We don't see the square root of three or one over the square root of three as an option and it would appear that oh Maybe we should rationalize the denominator here upon doing so We get the form square root of three over three in which case we see that the correct answer is then see