What happens to atoms during chemical reaction? This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. 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. 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 if the angle is measured in radians. This page titled 2.3.8: Trigonometric Functions of Negative Angles is shared under a CK-12 license and was authored, remixed, and/or curated by CK-12 Foundation via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. These two angles are also coterminal with an angle of 790 degrees (360 + 360 + 70 = 790). Give the quadrant of the angle, if applicable. Find the Reference Angle 450 degrees. You also have the option to opt-out of these cookies. $$\frac{7 \pi}{(1)}$$, Find a positive angle and a negative angle that are coterminal with the given angle. Once that number is found, it is multiplied by 360 and subtracted from 785 degrees. Krysten Jackson is a Chicago-based writer with a love of language and learning. Likewise, in radians, we can find coterminal angles by adding or subtracting full rotations of [latex]2\pi [/latex] radians: The angle [latex]\frac{11\pi }{4}[/latex] is coterminal, but not less than [latex]2\pi [/latex], so we subtract another rotation: The angle [latex]\frac{3\pi }{4}[/latex] is coterminal with [latex]\frac{19\pi }{4}[/latex], as shown in Figure 20. Step 3: Click on the "Calculate" button to find the coterminal angles. What is the smallest positive angle coterminal of -61 degrees,501, 632 wikiHow is where trusted research and expert knowledge come together. The most negative coterminal would be -/4 rad, which is found by adding 2 twice. what is the largest negative coterminal angle of -417? =660 =660 +360 =1020 =1020 +360 =1380 NOTE: =1380 =1020 +360 =(660 +360 )+360 =660 +2(360 ) The cookies is used to store the user consent for the cookies in the category "Necessary". This image may not be used by other entities without the express written consent of wikiHow, Inc.
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