yangyus
yangyus yangyus
  • 02-09-2017
  • Mathematics
contestada

what is cos of negative pi/3?
what is sin of negative pi/3?

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mergl
mergl mergl
  • 02-09-2017
pi/3 is equivalent to 60 degrees, as 2pi is equal to 360 degrees. cos(60) in a triangle yields 1/2, and sin(60) yields (3^(1/2))/2. Thus, -pi/3, or -60 degrees would be a fourth quadrant point on the unit circle and these values would be negative as well, at cos(-pi/3)=-1/2 and sin(-pi/3)=-(3^(1/2))/2 
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WojtekR
WojtekR WojtekR
  • 02-09-2017
Cosine is even function, so:

[tex]$\cos(-\frac{\pi}{3})=\cos(\frac{\pi}{3})=\frac{1}{2} [/tex]

and sine is odd function, so:

[tex]$\sin(-\frac{\pi}{3})=-\sin(\frac{\pi}{3})=-\frac{\sqrt{3}}{2} [/tex]
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