Question

1/2(cosa+√3sina)=cos(60˚-a)

Answer 1

$dfrac{1}{2} (text{cos} a + sqrt{3} cdotp text{sin} a) = text{cos} (60^{circ} - a) \\dfrac{1}{2} text{cos} a + dfrac{sqrt{3}}{2} cdotp text{sin} a = text{cos} bigg(dfrac{pi}{3} - a bigg)\\text{cos}bigg(dfrac{pi}{3} bigg) text{cos} a + text{sin}bigg(dfrac{pi}{3} bigg) text{sin} a = text{cos} bigg(dfrac{pi}{3} - a bigg)\\text{cos}bigg(dfrac{pi}{3} - a bigg) = text{cos}bigg(dfrac{pi}{3} - a bigg)$

$a in R$

$text{OTBET:} a in R$