Math 115 Lab #5

M. Flashman Fall '07

M. Flashman Fall '07

I. Graphing Piecewise Defined Functions (demo)

II. Applets that visualize finding the values for trig functions

I.Graphing Piecewise Defined Functions- Demonstration.

II. Applets that visualize finding/estimating the values for trig functions

from http://www.ies.co.jp/math/java/trig/index.html

**Record your answers for the next work and submit them on Moodle by Wednesday, Sept.26**

1. For each of the following angles, measured in degrees, use the appropriate function box to find the sine, cosine, and tangent for that angle: [Compare these results with results using your calculator.]

3. For each of the following numbers, b, use the appropriate function box estimate the angle t measured in degrees so that cos(t) = b. [Compare these results with results using your calculator and the results of problem 1.]

[Compare this results with a result using your calculator.]

**End of Lab 5**

II. Applets that visualize finding the values for trig functions

- Tools for Winplot used in this lab:

**Equation menu****User Function****joinx(.....).****point**

**Inventory****table**

I.Graphing Piecewise Defined Functions- Demonstration.

**Equation menu****User Function****You can build****piecewise (spliced) functions, namely joina, joinb, joinc, ..., and joinz.**

**For example, the value of**

joinx(f(x)|c,g(x)|d,h(x))

is

f(x) if x <= c,

g(x) if c < x <= d,

h(x) otherwise.

For example, try graphing y = joinx(x+1|0,1-xx|2,-1).

**Using this example move the slider and check y for x = -3, x= 1, x = 5.****Check the values that appear in the table for this function.****Use point to complete the figure accurately.**

II. Applets that visualize finding/estimating the values for trig functions

from http://www.ies.co.jp/math/java/trig/index.html

Sine Function Box |
Cosine Function Box |

Tangent Function Box |

1. For each of the following angles, measured in degrees, use the appropriate function box to find the sine, cosine, and tangent for that angle: [Compare these results with results using your calculator.]

- 35 degrees
- 15 degrees
- 70 degrees
- 50 degrees

- a = 0.47

- a = 0.80

- a = 0.32

- a = 0.94

3. For each of the following numbers, b, use the appropriate function box estimate the angle t measured in degrees so that cos(t) = b. [Compare these results with results using your calculator and the results of problem 1.]

- b = 0.47

- b = 0.80

- b = 0.32

- b = 0.94

- c = 0.47

- c = 2.80

- c = 0.73

- c = 4.37

[Compare this results with a result using your calculator.]