Math 115 Lab #6

M. Flashman Fall '07

M. Flashman Fall '07

I. Graphs of Trig Functions

- Comparisons (demo)

-Amplitude and period

II. Problems finding amplitude and period

I.Graphs of Trig Functions- Comparisons (demo)

**Record your answers for the next work and submit them on Moodle by Wednesday, October 3rd.**

For each of the following functions, use winplot to explore a) it's amplitude and b) it's period.

1. f (x) = 2 sin( 3x)

2. p (x) = 5 sin( 1/2 x)

3. h (x) = 4 sin( 2x)

4. g (x) = 1/2 sin( pi x)

**End of Lab 6**

- Comparisons (demo)

-Amplitude and period

II. Problems finding amplitude and period

- Tools for Winplot used in this lab:

**Equation menu****implicit xx + yy = 1**

**point**

**(x,y)- anchors**

**explicit**

**Animation menu**

**Families on Inventory.****One****Slider****View ... grid.... pi on scales**

I.Graphs of Trig Functions- Comparisons (demo)

**The graphs of sine and cosine:****Use implicit to graph the equation xx + yy = 1****Plot the point (cos(h), sin(h))****anchors**

**use animation for h.****use family for h.**

**define and undefine.**

**Plot the point (h, sin(h))**

**use animation****use family****Plot the point (h, cos(h))****use animation****use family****Plot graphs with explicit for**

**y = sin(x)****y = cos(x)****use slider to find sin(pi/6) and cos(pi/6)****Change scales on X axis to show "pi".****Notice**__period__for sine and cosine.

**Notice**__amplitude__for sine and cosine.

**Compare:**

* graph of sin(x) with graph of 2sin(x)

* graph of cos(x) with graph of -3cos(x)

* graph of sin(x) with graph of sin(2x)

* graph of cos(x) with graph of cos(1/6 x)

For each of the following functions, use winplot to explore a) it's amplitude and b) it's period.

1. f (x) = 2 sin( 3x)

2. p (x) = 5 sin( 1/2 x)

3. h (x) = 4 sin( 2x)

4. g (x) = 1/2 sin( pi x)