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Chapter 13: Q 34 (page 1066)

Describe the graphs of the equations and provide alternative equations in the specified coordinate systems

Change 胃=伪, where伪 is a constant, to the rectangular system

Short Answer

Expert verified

The given equation in rectangular system isxsin伪-ycos伪=0

Step by step solution

01

Step 1:Given information

The given expression is胃=伪

02

Step 2:Simplification

Converting the equation 胃=伪in the recatangular system as below

Since tan胃=yx

鈬�胃=tan-1yx

Now,

substituting in 胃=伪

tan-1yx=伪

鈬�yx=tan伪

鈬�yx=sin伪cos伪

鈬�xsin伪-ycos伪=0

Therefore, the given expression in rectangular system isxsin伪-ycos伪=0

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