Table of contents

15. Polar Equations

Convert Points Between Polar and Rectangular Coordinates

Join thousands of students who trust us to help them ace their exams!Watch the first video

Multiple Choice

Convert the point to rectangular coordinates.
$(-3,0)$

$(-3,0)$

$(0,-3)$

$(0,0)$

$(3,0)$

Verified step by step guidance

Identify the given point in polar coordinates, which is (r, θ) = (-3, 0). Here, r is the radius and θ is the angle in radians.

Recall the formulas to convert polar coordinates to rectangular coordinates: x = r * cos(θ) and y = r * sin(θ).

Substitute the given values into the formulas: x = -3 * cos(0) and y = -3 * sin(0).

Calculate the cosine and sine of the angle θ = 0. Note that cos(0) = 1 and sin(0) = 0.

Use these values to find the rectangular coordinates: x = -3 * 1 and y = -3 * 0, resulting in the point (x, y).

Master Convert Points from Polar to Rectangular with a bite sized video explanation from Patrick

Problem sets built by lead tutors

Expert video explanations

Convert the point to rectangular coordinates.(−3,0)(-3,0)(−3,0)