Figure 32 : Patterns of R=1+1*sin(p*A/4)^M
Product no. Program Pattern
Q1. What is the diagram ?
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* It is the diagram of r = 1+1*sin(p*A/4)^M
* Where p = 1 to 8 amd M = 1 to 5
* It is used to pick up the pattern and find the function
* The cycle domain for M = 1, 3, 5 is 8*pi
* The cycle domain for M = even number is 4*pi
Q2. Prove that the cycle domain is 2*q*pi when M is odd ?
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* Use Program
WebABC and Click QA
* Click topic 8 in upper box
* Click program 08 01 and sketch for A = (0,pi)
* Back and Click 08 04 and sketch for A = (0,4*pi)
* Back and Click 08 05 and sketch for A = (0,5*pi)
Q3. Prove that the cycle domain is q*pi when M is even ?
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* Use WebABC
WebABC and Click QA
* Click topic 8 in upper box
* Click Data and define p = 3 or M = 2
* Click program 08 01 and sketch for A = (0,pi)
* Back and Click 08 03 and sketch for A = (0,3*pi)