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The polar coordinates of a point are ( \( -10,0 \) ). Find the rectangular coordinates of this point. The rectangular coordinates are (Simplify your answer. Type an ordered pair. Type an exact answer for each coordinate, using radicals as needed. Use integers or fractions for any numbers in the expression.)

Ask by Higgins Long. in the United States
Nov 24,2024

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(-10, 0)

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To convert from polar coordinates to rectangular coordinates, we use the formulas \( x = r \cos(\theta) \) and \( y = r \sin(\theta) \). Here, \( r = -10 \) and \( \theta = 0 \). Calculating the coordinates: - \( x = -10 \cos(0) = -10 \cdot 1 = -10 \) - \( y = -10 \sin(0) = -10 \cdot 0 = 0 \) Therefore, the rectangular coordinates of the point are \( (-10, 0) \).

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