Calculus Chapter 9: Trig Graphs

How do you find the amplitude for all trig functions?

A

How do you find the fundamental period for SIN?

2π/B

How do you find the fundamental period for COS?

2π/B

How do you find the fundamental period for TAN?

π/B

How do you find the fundamental period for COT?

π/B

How do you find the fundamental period for SEC?

2π/B

How do you find the fundamental period for CSC?

2π/B

Where does SIN intersect the x-axis?

B M E

Where does COS intersect the x-axis?

.25 and .75

Where does TAN intersect the x-axis?

B E

Where does COT intersect the x-axis?

.5

Where does SEC intersect the x-axis?

Does not intersect

Where does CSC intersect the x-axis?

Does not intersect

Where are the asymptotes for SIN?

Does not have any

Where are the asymptotes for COS?

Does not have any

Where are the asymptotes for TAN

.5

Where are the asymptotes for COT?

B E

Where are the asymptotes for SEC?

.25 and .75

Where are the asymptotes for CSC?

B M E

How do you find a phase shift for all trig functions

C/B

What is the format of the graphical equations?

y=A cos (Bx+C) OR y=A cos B

For a phase shift, if C is positive what direction do you go?

Left

For a phase shift, if C is negative what direction do you go?

Right