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Multiple Choice
Plot the point on the polar coordinate system. (−3,−90°)
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Verified step by step guidance
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Understand that polar coordinates are given in the form (r, θ), where r is the radius (distance from the origin) and θ is the angle measured from the positive x-axis.
The point given is (-3, -90°). The negative radius means that the point is in the opposite direction of the angle.
Convert the angle from degrees to radians if necessary. Here, -90° is equivalent to -π/2 radians.
Since the radius is negative, plot the point 3 units away from the origin in the direction opposite to -90° (or -π/2 radians). This means you will plot the point 3 units above the origin, along the positive y-axis.
Verify the plotted point by checking that it is 3 units from the origin and lies on the line that is opposite to the angle -90°.