Question

Prove that x =
$\frac{2\pi}{ 3}$
if cos2x = -1/2​

Answer 1

$\boxed{Hey\:mate}$

$\boxed{Here's\:your\:answer}$

$cos2x = - \frac{1}{2} \\ = > cos2x = cos(180 - 60) \\ = > cos2x = cos120 \\ = > 2x = 120 \\ = > x = 60 \\ = > x = \frac{180}{3} \\ = > x = \frac{\pi}{3}$

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