1.已知2sin(3π+θ)=cos(π+θ),求2sin

问题描述:

1.已知2sin(3π+θ)=cos(π+θ),求2sin

2sin(3π+θ)=cos(π+θ)
2sin(2π+π+θ)=-cosθ
2sin(π+θ)=-cosθ
-2sinθ=-cosθ
2sinθ=cosθ
tanθ=1/2
sin²θ+cos²θ=1
5sin²θ=1
sinθ=±(根号5)/5
2sinθ=±2(根号5)/5