Mathematics Dictionary Dr. K. G. Shih

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Polar coordinates

Subject

Read Symbol defintion

TR 15 01 | - Introduction TR 15 02 | - R = sin(p*A/q)^M TR 15 03 | - R = tan(p*A/q)^M TR 15 04 | - R = sec(p*A/q)^M TR 15 05 | - R = 1 + 1*sin(p*A/q)^M TR 15 06 | - R = 2 + 4*sin(p*A/q)^M TR 15 07 | - R = 4 + 2*sin(p*A/q)^M TR 15 08 | - R = 1 + 1*sec(p*A/q)^M TR 15 09 | - R = 2 + 4*sec(p*A/q)^M TR 15 10 | - R = 4 + 2*sec(p*A/q)^M TR 15 11 | - R = 1 + 1*tan(p*A/q)^M TR 15 12 | - R = 2 + 4*tan(p*A/q)^M TR 15 13 | - R = 4 + 2*tan(p*A/q)^M

Answers

TR 15 01. Introduction Defintion : Relation of Polar coordinates with rectangular coordinates x = r*cos(A). y = r*sin(A). r = Sqr(x^2 + y^2). A = arctan(y/x). How to sketch R = sin(A) ? Examples : Study the questions with diagrams Subjects | Introduction Step 1 : Click Start command. Step 2 : Click introdduction in upper box. Step 3 : Click a question in lower box. Go to Begin TR 15 02. Graph of R = sin(p*A/q)^M Find the pattern of R = sin(P*A/2)^M Subjects | Start the program Step 1 : Clcik Start. Step 2 : Click R = sin(p*A/q)^M in upper box. Step 3 : Click q = 2 in lower box. It will give graphs for p = 1,3,5,7,9,11 and M = 1. for p = 1,3,5,7,9,11 and M = 2. for p = 1,3,5,7,9,11 and M = 3. Go to Begin TR 15 03. R = tan(p*A/q)^M Go to Begin TR 15 04. R = sec(p*A/q)^M Go to Begin TR 15 05. R = 1 + 1*sin(p*A/q)^M Go to Begin TR 15 06. R = 2 + 4*sin(p*A/q)^M Go to Begin TR 15 07. R = 4 + 2*sin(p*A/q)^M Go to Begin TR 15 08. R = 1 + 1*sec(p*A/q)^M Go to Begin TR 15 09. R = 2 + 4*sec(p*A/q)^M Go to Begin TR 15 10. R = 4 + 2*sec(p*A/q)^M Go to Begin TR 15 11. R = 1 + 1*tan(p*A/q)^M Go to Begin TR 15 12. R = 2 + 4*tan(p*A/q)^M Go to Begin TR 15 13. R = 4 + 2*tan(p*A/q)^M Go to Begin

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