What is Half of 2pi/3

Is that cos (2pi/3) or cos^2 (pi/3) ????
1/2 of 2 =1
cos (2pi/3) = - 1/2
cos (pi/3) = 1/2
cos^2 (pi/3) = 1/4

take your pick!

pi/3 radians = 60 degrees, and cos is looking for the side adjacent to the 60 degree angle
in a 30-60-90 triangle, the sides are in the ratio 1-sqrt(3)-2
so cos 60 = 1/2

2(pi/3) = 120 degrees-- the same triangle, except now, x is negative ==> cos 2pi/3 = -1/2

Answer Link

ColinJacobus ColinJacobus · Answer 2 · 2019-08-28T20:09:59+02:00

Answer: The half of [tex]\dfrac{2\pi}{3}[/tex] is [tex]\dfrac{\pi}{3}.[/tex]

Step-by-step explanation: We are given to find the half of [tex]\dfrac{2\pi}{3}.[/tex]

Let us consider that

[tex]x=\dfrac{2\pi}{3}.[/tex]

Then, the half of x is given by

[tex]\dfrac{1}{2}x=\dfrac{1}{2}\times\dfrac{2\pi}{3}=\dfrac{\pi}{3}.[/tex]

Thus, the half of [tex]\dfrac{2\pi}{3}[/tex] is [tex]\dfrac{\pi}{3}.[/tex]