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Question Number 148768 by mim24 last updated on 31/Jul/21

Answered by liberty last updated on 31/Jul/21

$$\frac{1-\cos (120°+2\mathrm{A})+1-\cos 2\mathrm{A}+1-\cos (120°-2\mathrm{A})}{2}=$$$$\frac{3-\cos 2\mathrm{A}-\{\cos (120°+2\mathrm{A})+\cos (120°-2\mathrm{A})\}}{2}=$$$$\frac{3-\cos 2\mathrm{A}-\left\{2\cos 120°\cos 2\mathrm{A}\right\}}{2}=$$$$\frac{3-\cos 2\mathrm{A}-\{-\cos 2\mathrm{A}\}}{2}=\frac{3}{2}$$

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