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Lets take a look a tan example of how you might calculate the coterminal angle. For example, the angles 30, 330 and 390 are all coterminal (see figure 2.1 below). In reality there are an infinite number of co terminal angles. Once that number is found, it is multiplied by 360 and subtracted from 785 degrees. The definition is simply an angle that ends at the same point as another angle on a the coordinate plane. Since the least positive value if being calculated the dividend of the given radian and 2pi must be rounded down to a whole number. How to Use the Coterminal Angle Calculator? In reality there are an infinite number of co terminal angles. Fig. In this case, the smallest negative angle is needed meaning the dividend of 78 pi and 2 pi must get rounded up to the nearest whole number. Check the answer using the calculator above. Finding angles coterminal with radian values can be done the same way. For example, the coterminal angle of 45 is 405 and -315. 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. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. This number is 2. Required fields are marked *. A coterminal angle is an angle that ends at the same location as another angle. First, you must convert the radians to degrees. This number must then get subtracted from the 78 pi for the solution to be found. Last, we need to add 360 degrees to that angle to find an angle that is coterminal with the original angle, so 114.59+360 = 475.59 degrees. To find the least negative angle coterminal with another angle, say 78 pi, the calculation process is shown below will work. If told to find the least positive angle coterminal with 785 degrees you can use the following calculation process shown below. The formulas above would only yield one of each co terminal angles. 2.1 In general, if is any angle, then +n(360)is coterminal angle 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. That is, if angle A has a measure of M degrees, then angle B is co Negative Coterminal Angle = Angle -360eval(ez_write_tag([[300,250],'calculator_academy-medrectangle-4','ezslot_9',107,'0','0']));eval(ez_write_tag([[300,250],'calculator_academy-medrectangle-4','ezslot_10',107,'0','1']));eval(ez_write_tag([[300,250],'calculator_academy-medrectangle-4','ezslot_11',107,'0','2'])); The formulas above would only yield one of each co terminal angles. If told to find the least negative angle coterminal with 526 degrees, a similar calculation process would be used with the only difference being that the dividend of the given Angle and 360 degrees must be added up. Coterminal Angle Calculator is a free online tool that displays the positive and negative coterminal angles for the given degree value. Use of the coterminal angle calculator 1 - Enter the angle: Coterminal angles are angles that share the same initial and terminal sides. 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Step 3: Finally, the positive and negative coterminal angles will be Formula: Positive Angle1 = Angle + 360 Positive Angle2 = Angle + 720 Negative Angle1 = Angle - 360 Negative Angle2 = Angle - 720. This coterminal angle calculator converts an angle in degrees or radians into two positive co-terminal angles, and two negative co-terminal angles. Co-terminal angles are easy to calculator using the following formulas if in degrees. Your email address will not be published. In Mathematics, the coterminal angle is defined as an angle, where two angles are drawn in the standard position, also both have their terminal sides in the same location. Your email address will not be published. How to Use the Coterminal Angle Calculator? eval(ez_write_tag([[580,400],'calculator_academy-medrectangle-3','ezslot_7',169,'0','0'])); Co-terminal angles are easy to calculator using the following formulas if in degrees. This results in the solution, pi. 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. 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. Coterminal angles:are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side. Since the coordinate circle has as a total rotation of 360 degrees, adding or subtracting that to the angle yields a result as does the coterminal angle calculator above. If told to find the least positive angle coterminal with 785 degrees you can use the following calculation process shown below. Now click the button Calculate Coterminal Angle to get the output, Finally, the positive and negative coterminal angles will be displayed in the output field. For this example the angle is 2.5 radians. BYJUS online coterminal angle calculator tool makes the calculation faster, and it displays the coterminal angles in a fraction of seconds. Step 2: Now click the button Calculate Coterminal Angle to get the output. Lets assume you are given an angle in radians. The side that defines the coterminal angle is called as the terminal side. For example, 1 degrees and 361 degrees are at the same location since the total angles in a circle is 360 degrees. 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. But you If told to find the least positive angle coterminal with 32 pi radian you would use the calculation process below: Coterminal angle of 270 (3 / 2): 630, 990, -90, -450 Coterminal angle of 285: 645, 1005, -75, -435 Coterminal angle of 300 (5 / 3): 660, 1020, -60, -420 Coterminal angle of 315 (7 / 4): 675, 1035, -45, -405 Coterminal angle of 330 (11 / 6): 690, 1050, -30, -390 This whole number must them be multiplied by 2 pi and subtracted from the given value. Negative Coterminal Angle = Angle -360. Once this number is found, it must again get subtracted from the given angle 526 degrees. A calculator to find the exact value of a coterminal angle to a given trigonometric angle. The procedure to use the coterminal angle calculator is as follows: 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. The procedure to use the coterminal angle calculator is as follows: Step 1: Enter the angle in the input field. Positive Coterminal Angle = Angle + 360. The coterminal Angle can be calculated with one of the following: Positive Coterminal Angle = Angle + 360Negative Coterminal Angle = Angle -360, Calculator Academy - All Rights Reserved 2020, how to find positive and negative coterminal angles, how to find coterminal angles greater than 360, how to find a positive and negative coterminal angle, find the angle of least positive measure that is coterminal with a, find coterminal angles radians calculator, how to find a coterminal angle between 0 and 360, how to determine if angles are coterminal, coterminal and reference angles calculator, how to find a coterminal angle between 0 and 2pi, how to find the coterminal angle of a radian, how to determine if two angles are coterminal, positive and negative coterminal angles calculator radians, how to find negative and positive coterminal angles, find a positive and negative coterminal angle calculator, find the angle of least positive measure coterminal with the given angle, how to find the positive and negative coterminal angle, how to determine coterminal angles in radians, find positive and negative coterminal angles calculator in radians. 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