What is the Coterminal angle of 30 degrees?

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What is the Coterminal angle of 30 degrees?

Coterminal angles: are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side. For example, the angles 30°, –330° and 390° are all coterminal (see figure 2.1 below).

What is the Coterminal angle of 35 degrees?

-325°
Illustration showing coterminal angles of 35° and -325°. Coterminal angles are angles drawn in standard position that have a common terminal side.

What are the Coterminal angles of 45 degrees?

For example, the coterminal angle of 45 is 405 and -315. Here 405 is the positive coterminal angle, -315 is the negative coterminal angle.

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How do you find a Coterminal angle of 120 degrees?

For example, angles measuring 120° and – 240° are coterminal. There are infinitely many coterminal angles. One way to find the measure of an angle that is coterminal with an angle θ is to add or subtract integer multiples of 360°.

How do you find Coterminals?

Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.

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 reference angle for π6?

Since π6 is in the first quadrant, the reference angle is π6 .

What is the Coterminal angle of 355?

Add 360° 360 ° to −5° – 5 ° . The resulting angle of 355° 355 ° is positive and coterminal with −5° – 5 ° . Since the angle 355° is in the fourth quadrant, subtract 355° from 360° .

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Are angles 315 and Coterminal?

Coterminal Angles are angles in standard position that have the same Initial Side and the same Terminal side. For example 45°, 405° and -315° are coterminal angles because all three angles have the same initial side (the x axis) and they share a same terminal side.

What is the reference angle for 135?

180
135′ is in the second quadrant, so our reference angle is 180′-135 “, or 45′ .

What are some examples of coterminal angles?

Coterminal angle of 0°: 360°,720°,-360°,-720°

  • Coterminal angle of 1°: 361°,721°,-359°,-719°
  • Coterminal angle of 5°: 365°,725°,-355°,-715°
  • Coterminal angle of 10°: 370°,730°,-350°,-710°
  • Coterminal angle of 15°: 375°,735°,-345°,-705°
  • Coterminal angle of 20°: 380°,740°,-340°,-700°
  • Coterminal angle of 25°: 385°,745°,-335°,-695°

    • What does it mean when angles are coterminal?

    Definition: Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.

    How to find the greatest negative coterminal?

    Step 1: Enter the angle in the input field.

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  • 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 terminal angles?

    Coterminal angles are angles in a standard position that have the same terminal sides. Every angle has an unlimited number of coterminal angles. Given ∠θ in standard position with measurement xn, then the angle measures that are coterminal to the angle are given by the formula ∠θ = x° + 360°n. Take note that n is an integer.