BQ#2 – Unit T Concept Intro

Unit T Big Questions

2. How do the trig graphs relate to the Unit Circle? 

A: The trig graphs are related to the Unit Circle because when we work with the Unit Circle we see that in the graphs we have Sine, Cosine, and Tangent. We also see their reciprocals which is co-secant, secant, and cotangent. 

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

A: The period for sine, cosine, co-secant, and secant is 2pi. This means they go through once cycle while covering 2pi units on the x-axis. The period for tangent and cotangent is pi. This means they go through once cycle while covering pi units on the x-axis. 

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? 

(http://www.regentsprep.org/Regents/math/algtrig/ATT7/graphvocab.htm)            (

http://www.icoachmath.com/math_dictionary_html5/Amplitude.html)
A: Sine and cosine graphs have an amplitude. Amplitudes are half the distance between the highest and lowest points on the graph. Sine and Cosine can't be greater than 1, while the other trig functions can.