Coterminal angles worksheet
- how to find coterminal angles in radians
- how to find coterminal angles in radians between 0 and 2pi
- how to find coterminal angles in radians calculator
- how to determine coterminal angles in radians
Negative coterminal angle
Coterminal angles examples!
Coterminal Angles
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An angle is said to be in standard position if it is drawn on the Cartesian plane (x-y plane) on the positive x-axis and turning counter-clockwise (anti-clockwise).
The initial side of an angle is the ray where the measurement of an angle starts.
The terminal side of an angle is the ray where the measurement of an angle ends.
Co-terminal angles are angles which when drawn at standard position share a terminal side.
For example, 30°, -330°, 390° are all coterminal.
The following diagram shows the coterminal angles 30°, -330°. Scroll down the page for more examples and solutions.
We can find the coterminal angles of a given angle by using the following formula:
Coterminal angles of a given angle θ may be obtained by either adding or subtracting a multiple of 360° or 2π radians.
Coterminal of θ = θ + 360° × k if θ is given in degrees.
Coterminal of θ = θ + 2π × k if θ is given in radians.
Two angles are coterminal if the difference between them is a multiple
- how to calculate coterminal angles in radians
- how to find coterminal angles in radian measure