Cosx+2cos(x+240°)
Simplify the equation
cosx + 2cos(x+240°\degree°) = cosx + 2(cosx * cos240°\degree° - sinx * sin240°\degree°)
= cosx + 2(cosx * (-1/2) - sinx * (- 3\sqrt{\smash[b]{3}}3/2))
= cosx + 2(-cosx/2 + 3\sqrt{\smash[b]{3}}3sinx/2)
= cosx - cosx + 3\sqrt{\smash[b]{3}}3sinx
= 3\sqrt{\smash[b]{3}}3sinx
∴\therefore∴ cosx + 2cos(x+240°\degree°) = 3\sqrt{\smash[b]{3}}3sinx
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