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 are two Coterminal angles of 2pi 3?

Trigonometric Function Values of Special Angles

θ°	θradians	csc(θ)
120°	2π/3	2√3/3
135°	3π/4	√2
150°	5π/6	2
180°	π	0

How do you find the Coterminal angle between 0 and 2pi?

To get coterminal angles, you simply have to add or subtract 2π . In this problem, we are looking for a coterminal angle that is between 0 and 2π , so we will add 2π to −1924π .

What is a positive angle less than 2pi that is Coterminal with?

A positive angle less than 2pi that is coterminal with the angle -11pi over 3 is π/3 radians.

How do you find two Coterminal angles in degrees?

Explanation: Coterminal angles coincide with each other; they occur in the exact same position, yet have different degree measures. You can find coterminal angles by adding or subtracting 360∘ to the original angle. You can find additional coterminal angles if you keep adding or subtracting 360∘ to the angles above.

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.

How to solve coterminal angle?

– Coterminal angles are equal angles. – To find a coterminal of an angle, add or subtract 360 360 degrees (or 2π 2 π for radians) to the given angle. – Reference angle is the smallest angle that you can make from the terminal side of an angle with the x x -axis.

How to find the greatest negative coterminal?

Step 1: Enter the angle in the input field.

Step 2: Now click the button “Calculate Coterminal Angle” to get the output.

Step 3: Finally,the positive and negative coterminal angles will be displayed in the output field.

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:

1 radian = 57.29 degree so 3.5*57.28=200.48 degrees

Now you need to add 360 degrees to find an angle that will be coterminal with the original angle:

Positive coterminal angle: 200.48+360 = 560.48 degrees.

Negative coterminal angle: 200.48-360 = 159.52 degrees

What is a terminal angle?

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°.