This means we move clockwise instead of counterclockwise when drawing it. 1.7: Trigonometric Functions of Any Angle - Mathematics LibreTexts (angles from 90 to 180), our reference angle is 180 minus our given angle. Also both have their terminal sides in the same location. If we draw it to the left, well have drawn an angle that measures 36. If your angle is expressed in degrees, then the coterminal angles are of the form + 360 k, where k is an integer (maybe a negative number!). The unit circle is a really useful concept when learning trigonometry and angle conversion. If we have a point P = (x,y) on the terminal side of an angle to calculate the trigonometric functions of the angle we use: sin = y r cos = x r tan = y x cot = x y where r is the radius: r = x2 + y2 Here we have: r = ( 2)2 + ( 5)2 = 4 +25 = 29 so sin = 5 29 = 529 29 Answer link As a result, the angles with measure 100 and 200 are the angles with the smallest positive measure that are coterminal with the angles of measure 820 and -520, respectively. So we decide whether to add or subtract multiples of 360 (or 2) to get positive or negative coterminal angles. Let us list several of them: Two angles, and , are coterminal if their difference is a multiple of 360. side of an origin is on the positive x-axis. If necessary, add 360 several times to reduce the given to the smallest coterminal angle possible between 0 and 360. We can therefore conclude that 45, -315, 405, 675, 765, all form coterminal angles. The reference angle always has the same trig function values as the original angle. The point (7,24) is on the terminal side of an angle in standard Negative coterminal angle: 200.48-360 = 159.52 degrees. We will help you with the concept and how to find it manually in an easy process. if it is 2 then it is in the third quadrant, and finally, if you get 3 then the angle is in the Our second ray needs to be on the x-axis. How do you find the sintheta for an angle in standard position if the
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