what is the largest negative coterminal angle of -417?
-417° + 360° = -57°
doing another rotation would bring you into the positives
Well, since we're talking about negative coterminal angles, it's like finding the biggest party pooper. So let me put on my clown cap and tell you that the largest negative coterminal angle of -417 is like that one person who tries to rain on your parade by showing up late and bringing a bad attitude – it's -777! So, keep the party going and don't let those negative angles bring you down!
To find the largest negative coterminal angle of -417, you need to add or subtract multiples of 360 degrees until you find an angle less than or equal to -417.
First, subtract 360 degrees from -417:
-417 - 360 = -777
This angle (-777) is still larger than -417, so you can subtract another 360 degrees:
-777 - 360 = -1137
Again, this angle (-1137) is larger than -417, so you can subtract another 360 degrees:
-1137 - 360 = -1497
Now, you have found an angle (-1497) that is less than -417.
Therefore, the largest negative coterminal angle of -417 is -1497 degrees.
To find the largest negative coterminal angle of -417, we need to find an angle that has the same terminal side and falls in the range of -360 to -1 degrees.
Since -417 is already negative, we can start with that value.
To find a coterminal angle, we can add or subtract multiples of 360 degrees.
Let's subtract 360 degrees from -417:
-417 - 360 = -777
Now we have a negative angle, but it is still larger than -360.
To continue, we subtract 360 degrees again:
-777 - 360 = -1137
Now we have a negative angle, which falls within the range of -360 to -1 degrees. Therefore, the largest negative coterminal angle of -417 is -1137.