Find the smallest possible angle in standard position of 4400 degrees.
You need to find the remainder when 4400 is divided by 360 degrees, because there are 360 degrees in a circle.
The remainder division is also known as modulus or mod, often shown by the '%' sign.
4400%360 = ?
Sorry, I'm still a bit confused. Do I just divide 4400 by 360?
how many times will 360 go into 4400?
Ans 12.2222 times.
Now, what is 4400-12(360) ? That will be the leftover, your smallest angle.
To find the smallest possible angle in standard position of 4400 degrees, we need to convert 4400 degrees to an angle in the range of 0 to 360 degrees.
Since one full revolution is 360 degrees, we can divide the given angle, 4400 degrees, by 360 to see how many full revolutions it represents.
4400 degrees ÷ 360 degrees = 12.22
This means that the angle of 4400 degrees represents 12 full revolutions plus an additional 0.22 of a revolution.
To find the smallest possible angle, we need to subtract the 12 full revolutions from the total angle of 4400 degrees:
4400 degrees - (12 × 360 degrees) = 4400 degrees - 4320 degrees = 80 degrees
Therefore, the smallest possible angle in standard position of 4400 degrees is 80 degrees.