What is the value of $cos (\frac{2 π}{3})$ $cos((2pi)/3)$ ?

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What is the value of $cos (\frac{2 π}{3})$ $cos((2pi)/3)$ ?

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Answer 1 · 2016-07-30T14:25:51

$- \frac{1}{2}$ $-1/2$

Explanation:

$\frac{2 π}{3} is an angle in the 2nd quadrant where the cos ratio is negatve$ $(2pi)/3 "is an angle in the " color(blue)"2nd quadrant where the cos ratio is negatve"$

$\Rightarrow cos (\frac{2 π}{3}) = - cos (π - \frac{2 π}{3}) = - cos (\frac{π}{3}) = - \frac{1}{2}$ $rArrcos((2pi)/3)=-cos(pi-(2pi)/3)=-cos(pi/3)=-1/2$

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What is the value of $cos (\frac{2 π}{3})$ $cos((2pi)/3)$ ?

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