Unit T Big Question #1

How do the trig graphs relate to the unit Circle?

    a. Period?- Why is the period for sine and cosine 2pi, whereas the period for tangent and cotangent is pi?

b. Amplitude?- How does the fact that sine and cosine have amplitudes of one relate to what we know about the Unit Circle?


a. sine and cosine has a period of 2pi because it takes 360 degrees (2pi) for the period to repeat again. Whereas it only takes tangent and cotangent 180 degrees (pi) for the period to repeat.

b. cosine and sine only have amplitudes of 1 because it has no asymptotes and in the unit circle they both can equal 1 depending which radians. Tangent can only equal 0 or be undefined.  For csc and sec they are the reciprocals of sin and cosine and when it divided by 0 then it is undefined.