2cos(п/3 - a) -cosa + √3sinaУПРОСТИТЬ

Question

2cos(п/3 - a) -cosa + √3sina
УПРОСТИТЬ

Answer 1

2cos(п/3 - a) -cosa + √3sina
УПРОСТИТЬ
=== дальнее плавание
2cos(π/3 - α) -cosα + √3sinα =2cos(π/3 - α) -2(1/2*cosα - √3/2*sinα)=
2cos(π/3 - α) -2(cosπ/3*cosα -sinπ/3*sinα) =2cos(π/3 - α) -2cos(π/3 +α) =
2(cos(π/3 - α) - cos(π/3 +α) ) =2*2 sinα*π/3 =2*2*sinα*(√3 /2) =2√3sinα.

Answer 2

2cos(π/3-a)-cosa+√3sina=2cosπ/3cosa+2sinπ/3sina-cosa+√3sina=
=2*1/2*cosa+2*√3/2*sina-cosa+√3sina=cosa+√3sina-cosa+√3sina=2√3sina