Special circles Show that the equation r = a cos ? + b sin

Chapter 8, Problem 103AE

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QUESTION:

Show that the equation \(r=a \cos \theta+b \sin \theta\), where a and b are real numbers, describes a circle. Find the center and radius of the circle.

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QUESTION:

Show that the equation \(r=a \cos \theta+b \sin \theta\), where a and b are real numbers, describes a circle. Find the center and radius of the circle.

ANSWER:

Solution 103AE

Step 1:

To find

Show that the equation r = a cos θ + b sin θ, where a and b are real numbers, describes a circle. Find the center and radius of the circle.

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