is this right...
a) give reference angle
-200=20 degrees reference angle??
Yes, that's right. It is 20 degrees above the 180 (or -180) degree line, in the second quandrant
thanks so mcuh
No, the reference angle for -200 degrees is not 20 degrees. Let me explain how to find the reference angle for any given angle:
1. Determine the quadrant: Angles can be measured in a counterclockwise direction from the positive x-axis, and they can fall into one of four quadrants on the coordinate plane.
- In the first quadrant (0 to 90 degrees), the reference angle is the same as the angle itself.
- In the second quadrant (90 to 180 degrees), the reference angle is the difference between the given angle and 180 degrees.
- In the third quadrant (180 to 270 degrees), the reference angle is the difference between 270 degrees and the given angle.
- In the fourth quadrant (270 to 360 degrees), the reference angle is the difference between the given angle and 360 degrees.
2. Calculate the reference angle using the appropriate formula based on the quadrant.
Now, let's find the correct reference angle for -200 degrees:
1. Determine the quadrant:
- Since -200 degrees lies in the third quadrant, we will use the formula for this quadrant: difference = 270 degrees - given angle.
2. Calculate the reference angle:
- difference = 270 degrees - (-200 degrees) = 270 degrees + 200 degrees = 470 degrees.
Therefore, the reference angle for -200 degrees is 470 degrees.