Unit T Post #1

How do the trig graphs relate to the Unit Circle? 
A. Period ? Why is the period for sine and cosine 2pi, where as the period for tangent and cotangent is pi? 
The period for sine and cosine is 2pi because the period infers to how long it takes to repeat the patterns of positive and negative values based on the different quadrants. Also, for sine how we know its 2pi because the pattern is positive to positive to negative to negative, which is one full rotation . and is similar to cosine.  On the other hand for tangent and cotangent it takes half of the unit circle to repeat the pattern of positives or negatives so there period is pi. 
B. Amplitude? How does the fact that sine and cosine have amplitudes of one ( and the trig functions don't have amplitudes) relate to what we know about the Unit Circle? 
This most importantly is related in how the radius of the circle is 1. The greatest values that are on the unit circle to the left and the right is 1 as well as up and down. picture: www.rasmus.is