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In this section, you will learn to calculate the sin in degrees. When you pass an angle in degrees as the argument of the sine function, you pass a value between 0°0\degree0° and 360°360\degree360°. This range is what we call the period of the sine function: the values assumed by the sine in this interval are repeated regularly outside of it. The values assumed by the sine function in a quadrant are repeated in the next one, just mirrored. For the four quadrants of the goniometric circle, we define four behaviors:
For the first quadrant (from 0°0\degree0° to 90°90\degree90°), we find values of the sine from 000 to 111.
For the second quadrant (from 90°90\degree90° to 180°180\degree180°), we find the values of the previous quadrant, but in the opposite order (starting from the one for 90°90\degree90° and ending at the value for 0°0\degree0°).
The third quadrant (from 180°180\degree180° to 270°270\degree270°) has the same values as the first quadrant, but negative.
The fourth quadrant (from 270°270\degree270° to 360°360\degree360°) contains the same values as the second quadrant, changed in sign.
The value of the sine oscillates between 111 and −1-1−1, these values included in the range. Let's see the values of the sine for the most common angles.
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