3sinθ+根号3cosθ=2根号3sin(θ+φ),(0

题目

3sinθ+根号3cosθ=2根号3sin(θ+φ),(0<φ<π),求φ的值

答案

3sinθ+根号3cosθ=2根3sin(θ+π/6)=2
根3sin(θ+π/6)=1
所以φ=π/6