How do you calculate Coterminal angles?
How do you calculate Coterminal angles?
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.
What is the Coterminal angle of 185?
Trigonometry Examples The resulting angle of 185° 185 ° is positive and coterminal with −175° – 175 ° .
What is the Coterminal angle of 1170?
The resulting angle of 450° 450 ° is positive and coterminal with 1170° 1170 ° but isn’t less than 360° 360 ° . Repeat the step. Subtract 360° 360 ° from 450° 450 ° . The resulting angle of 90° 90 ° is positive, less than 360° 360 ° , and coterminal with 1170° 1170 ° .
Which angles are Coterminal with an angle measure of 2π3?
Coterminal angle of 120° (2π / 3): 480°, 840°, -240°, -600° Coterminal angle of 135° (3π / 4): 495°, 855°, -225°, -585°
What is the Coterminal angle of 27pi 10?
Algebra Examples The resulting angle of 7π10 7 π 10 is positive, less than 2π 2 π , and coterminal with 27π10 27 π 10 .
Is 175 a Coterminal?
Illustration showing coterminal angles of 175° and -185°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, both angles are labeled with the proper degree measure.
Which pair of angles are Coterminal with 220?
Trigonometry Examples Add 360° 360 ° to −220° – 220 ° . The resulting angle of 140° 140 ° is positive and coterminal with −220° – 220 ° . Since the angle 140° is in the second quadrant, subtract 140° from 180° .
What is the Coterminal angle of 900?
Trigonometry Examples Subtract 360° 360 ° from 900° 900 ° . The resulting angle of 540° 540 ° is positive and coterminal with 900° 900 ° but isn’t less than 360° 360 ° .
What is the Coterminal angle of π 3?
For example, pi/3 radians is the given measure of this angel. Then, to find the positive coterminal angle you would add 2 pi, so it would be 7pi/3. To find the negative coterminal angle you would subtract 2pi from the original angle measure, so it would be -5pi/3.
What is Coterminal with?
Coterminal angles are angles that share the same initial and terminal sides. To find an angle coterminal to another you can do so by simply adding or subtracting any multiple of 360 degrees or 2 pi radians. Finding angles coterminal with radian values can be done the same way.
How do you find the coterminal angle?
To find a positive and a negative angle coterminal with a given angle, you can add and subtract 360 ° if the angle is measured in degrees or 2 π if the angle is measured in radians . Example 1: Find a positive and a negative angle coterminal with a 55 ° angle.
What does it mean for angles to be coterminal?
Definition: Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.
What are some examples of coterminal angles?
Coterminal angle of 0°: 360°,720°,-360°,-720°
How to find coterminal angles in radians?
If the given an angle in radians (3.5 radians) then you need to convert it into degrees:
