How to Find the Least Positive Coterminal Angle

20048360 56048 degrees. The question is asking for the least positive coterminal angle so you must add until you reach a positive angle.


Finding The Coterminal Angle Of Least Positive Measure Positivity Math Videos Trigonometry

For trigonometric functions coterminal angles have the same function value.

. Thats because the function repeats itself over and over. To find the smallest positive coterminal angles subtract 360 repeatedly until the result is a positive angle less than or equal to 360. Also you can simply add and subtract a number of revolutions if all you need is any positive and negative coterminal angle.

To find a positive angle add 2π. Now you need to add 360 degrees to find an angle that will be coterminal with the original angle. If told to find the least positive angle coterminal with 785 degrees you can use the following calculation process shown below.

For letter b with the given angle measure of -75 add 360. The angle is still negative so you must continue. Identify the given angle eqtheta eq.

Find the angles of least positive measure coterminal to each angle. The maximum amount of times 360 degrees can be subtracted from 785 degrees and stay positive is found by dividing the given angle 785 degrees and dividing it by 360 but rounding down to the closet whole number. Add or subtract a multiple of eq360circ eq.

For example 30 390 and -330 are all coterminal. To find a coterminal angle you must add or subtract. Other negative coterminal angles are -40 -400 -760.

How do you find the least positive Coterminal angle. -315 is the negative coterminal angle of 45. Other positive coterminal angles are 680 1040.

Find the least positive angle measurement that is coterminal with -40 degrees. Find 2 angles that are coterminal with 135. The angle is still negative so you must continue.

Negative angles rotate clockwise from the right side of the x-axis. How do you find the least positive Coterminal angle. Up to 10 cash back Coterminal angles are angles in standard position angles with the initial side on the positive x -axis that have a common terminal side.

Coterminal angles are two angles that are drawn in the standard position so their initial sides are on the positive x-axis and have the same terminal side like 110 and -250. Find the least positive angle latextheta latex that is coterminal with an angle measuring 800 where latex0circ le theta. Coterminal means ends up at the same place Lets indicate with a green arc the smallest positive angle that starts at the right hand side of the x-axis and rotates counter-clockwise and ends up at the.

π6 2π -11π6. C The given angle is 750. How to Use the Coterminal Angle Calculator.

How to Find Coterminal Angles. To find a positive and a negative angle coterminal with a given angle you can add and subtract 360if the angle is measured in degrees or 2π if the angle is measured in radians. The question is asking for the least positive coterminal angle so you must add until you reach a positive angle.

The space in between the angles is a multiple of a. Explore our additional Mathematics resources. A The given angle is - 40 - 40 360 320 320 is the least positive coterminal angle of -40.

To find a negative angle subtract 2π. Finally the positive and negative coterminal angles will be displayed in the output field. B The given angle is - 1500-1500 360 5 - 1500 1800 300 300 is the least positive coterminal angle of -1500.

In finding coterminal angles of a non-positive angle add 360 repeatedly until the result is a positive angle less than or equal to 360. π6 2π 13π6. Up to 10 cash back Possible Answers.

Given a Non-Positive Angle. 405 is the positive coterminal angle of 45. 440 360 80.

To find a coterminal angle you must add or subtract. Another way to describe coterminal angles is that they are two angles in the standard position and one angle is a multiple of 360 degrees larger or smaller than the other. Enter the angle in the input field.

Now click the button Calculate Coterminal Angle to get the output. We know that to find the coterminal angle we add or subtract multiples of 360. Subtract 360 multiple times to obtain an angle with a measure greater than 0 but less than 360 for the given angle measure of 908.

To find a coterminal angle. Lets draw an angle of -40. For our previously chosen angle α 1400 lets add and subtract 10 revolutions or 100 why not.

Coterminal angles are angles in standard position that have a common terminal side. Solution An angle with measure 800 is coterminal with an angle with measure 800 360 440 but 440 is still greater than 360 so we subtract 360 again to find another coterminal angle. Find the least positive coterminal angle.

Click to see full answer. The procedure to use the coterminal angle calculator is as follows. If the given an angle in radians 35 radians then you need to convert it into degrees.

This number is 2. To find coterminal angles in steps follow the following process. Lastly for letter c with an angle measure of -440 add 360 multiple times to achieve the least positive coterminal angle.

Using Coterminal Angles to Find Function Values. Then we can decide if we want to add or subtract multiples of 360 or of 2π depending on whether we want to obtain a positive or negative coterminal angle. 1 radian 5729 degree so 35572820048 degrees.

The angle is still negative so you must continue. That is if angle A has a measure of M. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy Safety How YouTube works Test new features Press Copyright Contact us Creators.

The angle is still negative so you must continue. 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. For example 30 330 and 390 are all coterminal.


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