BQ #2: Unit T Concept Introduction

How do the trig functions relate to the Unit Circle?

The trig functions relate to the unit circle based on the signs they hold in the Unit Circle that distinguish how the graph will look on the x and y graph. The x and y graph is the unfolded Unit Circle. Sin has a pattern of positive, positive, negative, negative. Cos has a pattern of positive, negative, negative, positive. Both sin and cos go through ONE cycle while covering 2pie units. The trig function of tan is different in the way that tan's pattern is positive, negative, positive, and negative and tan and cot go through ONE cycle while covering pie units.

How does the fact that sine and cosine have amplitude of one relate to what we know about the Unit Circle?

Sine and Cosine have amplitudes because of the ratio they share. Amplitudes are only found when the ratio is undefined, meaning that the denominator is 0. Sine and Cosine (CSC and SEC) have the ratio of R/ X or R/Y and with that the answer cannot equal zero, whereas Tan and Cot have the possibility of equaling and being left with a ratio of undefined, leaving it to have an Amplitude.