An angle between 0° and 360° that is coterminal with 405° is 45°.
Angles having the same initial and terminal sides are called coterminal angles. The coterminal angle of a given angle can be determined by adding or subtracting 360° or 2π to it.
For the given situation,
The angle is 405°.
The coterminal angle of 405° is obtained by subtracting 360°,
⇒ [tex]405-360[/tex]
⇒ [tex]45[/tex]
Hence we can conclude that an angle between 0° and 360° that is coterminal with 405° is 45°.
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