SOLUTION: derive the cosine and sine functional values for t = pie/3
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Question 895978: derive the cosine and sine functional values for t = pie/3
Found 2 solutions by jim_thompson5910, Theo:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Using this unit circle
(Image Source: Wikipedia http://en.wikipedia.org/wiki/File:Unit_circle_angles_color.svg )
we see that at the angle we have the point )
(look at the 60 degree angle)
The x coordinate of this point is equal to
So,
The y coordinate of this point is equal to
So,
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
pi/3 radians multiplied by 180 / pi is equal to 60 degrees.
sine (60 degrees) is equal to sqrt(3)/2.
cosine (60 degrees) is equal to 1/2.
this is one of the common triangles whose trigonometric values you should know by heart.
translate back to radians and you get 60 degrees * pi / 180 = pi/3 radians.
you end up with:
sine (pi/3) is equal to sqrt(3)/2.
cosine (pi/3) is equal to 1/2.
the translation from radians to degrees is:
degrees = radians * 180 / pi.
the translation from degrees to radians is:
radians = degrees * pi / 180.
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