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Chapter 10: Problem 29

Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates. Round your results to two decimal places. $$(-4.5,1.3)$$

Short Answer

Expert verified
The rectangular coordinates of the point are approximately \( (1.63, -4.22) \).

Step by step solution

01

Compute x-coordinate

Calculate the x-coordinate using the formula: \( x = r \cos(\theta) \). Substituting the given values, we find \( x = -4.5 \cos(1.3) \)
02

Compute y-coordinate

Calculate the y-coordinate using the formula: \( y = r \sin(\theta) \). Substituting the given values, we find \( y = -4.5 \sin(1.3) \)
03

Round the results

Round the results of the x and y coordinates to two decimal places.

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