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 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 .

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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.

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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°.

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