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Chapter 9: Q. 8 (page 567)

If P is a point with polar coordinates (r,胃)the rectangular coordinates (x,y)of P are given by x = _____ and y = ______.

Short Answer

Expert verified

If P is a point with polar coordinates (r,胃)the rectangular coordinates (x,y)of P are given by x=rcos胃 and y=rsin胃.

Step by step solution

01

Step 1. Given information

We have been given statement:

If P is a point with polar coordinates (r,胃)the rectangular coordinates (x,y)of P are given by x = _____ and y = ______.

We have to fill in the blanks.

02

Step 2. Complete the statement using transformation

Polar coordinates (r,胃)of a point are related to its rectangular coordinates (x,y)as:

r=x2+y2x=rcos胃y=rsin胃

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