Use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. (2, 45°)

검증된 단계별 안내

Understand that the polar coordinates are given in the form \((r, \theta)\), where \(r\) is the distance from the origin and \(\theta\) is the angle measured from the positive x-axis (polar axis) in degrees.

Identify the given coordinates: \(r = 2\) and \(\theta = 45^\circ\).

Locate the angle \(45^\circ\) on the polar coordinate system. This angle is measured counterclockwise from the positive x-axis.

From the origin, move along the line that makes a \(45^\circ\) angle with the positive x-axis.

Mark the point at a distance of 2 units from the origin along this line. This is the point with polar coordinates \((2, 45^\circ)\).

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Polar Coordinate System

The polar coordinate system represents points in a plane using a distance and an angle from a fixed origin. Each point is defined by (r, θ), where r is the radius or distance from the origin, and θ is the angle measured in degrees or radians from the positive x-axis.

Plotting Points Using Polar Coordinates

To plot a point given in polar coordinates (r, θ), start at the origin, measure the angle θ counterclockwise from the positive x-axis, then move outward along that direction by the distance r. This locates the point accurately on the plane.

Angle Measurement in Degrees

Angles in polar coordinates are often given in degrees, measured counterclockwise from the positive x-axis. Understanding how to interpret and measure these angles is essential for correctly positioning points in the polar plane.