Problem

1. Draw an angle with the given measure in standard position. a) -230 b) 230

Solution

Step 1 :Draw an angle with the given measure in standard position. The vertex of the angle is at the origin and its initial side is along the positive x-axis. Positive angles are measured counterclockwise from the initial side and negative angles are measured clockwise.

Step 2 :For an angle of -230 degrees in standard position, calculate the equivalent positive angle by subtracting the given angle from 360 degrees. This gives us \(360 - (-230) = 590\) degrees. However, since a full rotation is 360 degrees, we subtract 360 from 590 to get the equivalent angle in standard position, which is \(590 - 360 = 230\) degrees.

Step 3 :For an angle of 230 degrees in standard position, calculate the equivalent negative angle by subtracting 360 from the given angle. This gives us \(230 - 360 = -130\) degrees.

Step 4 :\(\boxed{\text{Final Answer:}}\)

Step 5 :a) An angle of -230 degrees in standard position is equivalent to an angle of 230 degrees measured counterclockwise from the positive x-axis.

Step 6 :b) An angle of 230 degrees in standard position is equivalent to an angle of -130 degrees measured clockwise from the positive x-axis.

From Solvely APP
Source: https://solvelyapp.com/problems/16337/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download