a. Period?- Why is the period for sine and cosine 2pi, whereas the period for tangent and cotangent is pi?
The period for sine and cosine is 2pi because in relation to the unit circle, it takes a full rotation (2pi) for the positive/negative pattern to repeat, whereas it only takes half of a full rotation (pi) for the sign pattern to repeat.
b. Amplitude?- How does the fact that sine and cosine have amplitudes of one (and the other trig functions don't have amplitudes) relate to what we know about the Unit Circle?
Sine and cosine are the two trig functions whose inverse trig function can only be between -1 and 1, if it were more than the absolute value of 1, the function would bust and it wouldn't be possible.
No comments:
Post a Comment