SOLUTION: Find an angle between 0 and 0 and 360 that is co-terminal with -45, give an exact value.

Question 596366: Find an angle between 0 and 0 and 360 that is co-terminal with -45,
give an exact value.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
In trigonometry, angles are usually shown in what is called standard position, with a side, taken as the initial side, coinciding with the positive x-axis.
The other side is called the terminal side, and the angle is seen as a turn or sweep from the initial side to the terminal side.
Counter-clockwise angles (turns) are considered to have a positive measure, while clockwise turns have negative measures.
The measure of one whole counter-clockwise turn would be .
More than one turn is allowed, so angles can have any measure, from -infinity to +infinity.
Two counterclockwise turns would be a angle.
The sides of angles differing by one or more turns (like and angles) coincide.
Those angles are said to be co-terminal to each other.
The -turn clockwise, acute angle AOB has a measure of .
The other (counter-clockwise, -turn) angle AOB has a measure of .
It is one of an infinite number of angles coterminal with the angle AOB, but the only one between and is the -turn counter-clockwise AOB measuring .
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