Problem 29
Question
Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates. Round your results to two decimal places. $$(-4.5,1.3)$$
Step-by-Step Solution
Verified Answer
The rectangular coordinates of the point are approximately \( (1.63, -4.22) \).
1Step 1: Compute x-coordinate
Calculate the x-coordinate using the formula: \( x = r \cos(\theta) \). Substituting the given values, we find \( x = -4.5 \cos(1.3) \)
2Step 2: Compute y-coordinate
Calculate the y-coordinate using the formula: \( y = r \sin(\theta) \). Substituting the given values, we find \( y = -4.5 \sin(1.3) \)
3Step 3: Round the results
Round the results of the x and y coordinates to two decimal places.
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