The value of Cos(4π/3) is (-1/2) i.e., negative one half.
The given function is Cosine (Start fraction 4 pi over 3 end fraction) and this can be written simply as,
Cos(4π/3)
On splitting 4π/3 in two parts, this can also be written as
= Cos(π + (π/3))
(π + (π/3)) lies in the third quadrant and in the third quadrant the value of cosine function is negative. So, using quadrant sign for cosine function, this can be written as
= -Cos(π/3)
Now, Substitute the value of Cos(π/3) = 1/2.
= (-1/2)
Cos(4π/3) = (-1/2)
The value of Cos(4π/3) is (-1/2) i.e., negative one half.
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