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This coterminal angle calculator allows you to calculate the positive and negative coterminal angles for the given angle and also clarifies whether the two angles are coterminal or not.
Coterminal angles are those angles that share the same initial and terminal sides. Their angles are drawn in the standard position in a way that their initial sides will be on the positive x-axis and they will have the same terminal side like 110° and -250°.
According to the coterminal definition:
By adding and subtracting a number of revolutions, you can find any positive and negative coterminal angle. For example, if the chosen angle is: α = 14°, then by adding and subtracting 10 revolutions you can find coterminal angles as follows:
To find coterminal angles in steps follow the following process:
Determine the coterminal angle of π/4
Given Angle: θ = π/4,
Which is in radians,
So, multiples of 2π add or subtract from it to compute its coterminal angles.
Now, subtract 2π from the angle.
= π/4 − 2π
Hence, the coterminal angle of π/4 is equal to −7π/4.
From the source of Wikipedia: Etymology, coterminal, Adjective, Initial and terminal objects.
From the source of Varsity Tutors: Coterminal Angles, negative angle coterminal, Standard position.