Respuesta :
Coterminal angles are measured from the positive x-axis. The coterminal angle for angle 45° is (270°+45°).
What are coterminal angles?
Coterminal angles are angles that are made by the positive x-axis of the coordinate plane.
Given to us
θ = 45°
We know that coterminal angles are those angles that are measured from the positive x-axis of the coordinate plane.
In order to find the angle coterminal with a 45° angle, we will deduct θ from 360°, therefore we will measure the from positive x-axis but in the clockwise direction.
[tex]\theta _1 = 360^o - \theta\\\\\theta _1 = 360^o - 45^o\\\\\theta _1 = 315^o\\\\\theta _1= 270^o + 45^o[/tex]
Hence, the coterminal angle for angle 45° is (270°+45°).
Learn more about Coterminal Angle:
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