Relationships between angles are important: Therefore, the distance from p to 2p can also be notated as 0 to -p, depending on which way you travel the circle. Therefore x = cos Θ = sqrt(2)/2 = y =sinΘ, or equivalently: (sqrt(2)/2, sqrt(2)/2) = (cos(p/4), sin(p/4)).Ĭounterclockwise movement on the unit circle is measured in positive units and clockwise movement is measured in negative units. If Θ is an angle made by connecting (0,0), (1,0) and any other point on the unit circle M = (a,b), then cosΘ = a, sinΘ = b, or equivalently: (a,b) = (cosΘ, sinΘ)įor example: the line for Θ=p/4 radians crosses the circle at (sqrt(2)/2, sqrt(2)/2). The unit circle below gives the commonly used angles and their sines/cosines. (For this article, p will denote pi=3.14159…)Ġ degrees = 0 radians = 2p radians = 360 degrees (Note that 0 and 2p are often used interchangeably) The unit circle is segmented into 360 degrees or 2*pi radians. Until now, you probably measured angles in degrees. It is also helpful as a handy homework reference. For those of you that have studied the material before, this is a condensed formula sheet to help you prepare for exams. If you don’t have any experience with the subject, there is not enough information here to teach it to you.
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