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91Ó°ÊÓ

Give another way of naming each point.

a.1,−120°

b.2,300°

c.2.5,−180°

Short Answer

Expert verified

Another way of naming each point is

a.1,240°,b.2,−60°,c.2.5,180°

Step by step solution

01

Part a. Step 1. Meaning of point.

Negative sign with angle represents clockwise direction whereas positive sign represent anticlockwise direction.

So given point is 1 unit from the origin and makes120° clockwise.

02

Part a. Step 2. Change the direction of point.

On reversing the direction from clockwise to anticlockwise subtract given angle from360° as shown below

360°−120°=240°

03

Part a. Step 3. Write other name of given point.

Given point is represented as 1 unit from the origin and makes 240°anticlockwise.

So point is1,240°

04

Part b. Step 1. Meaning of point.

Negative sign with angle represents clockwise direction whereas positive sign represent anticlockwise direction.

So given point is 2 unit from the origin and makes300° anticlockwise.

05

Part b. Step 2. Change the direction of point.

On reversing the direction from clockwise to anticlockwise subtract given angle from360° as shown below

360°−300°=60°

06

Part b. Step 3. Write other name of given point.

Given point is represented as 2 unit from the origin and makes60° clockwise.

So point is2,60°

07

Part c. Step 1. Meaning of point.

Negative sign with angle represents clockwise direction whereas positive sign represent anticlockwise direction.

So given point is2.5 unit from the origin and makes180° clockwise.

08

Part c. Step 2. Change the direction of point.

On reversing the direction from clockwise to anticlockwise subtract given angle from 360°as shown below

360°−180°=180°

09

Part c. Step 3. Write other name of given point.

Given point is represented as 2.5unit from the origin and makes 180°anticlockwise.

So point is2.5,180°

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