①化简[sin(2π+α)*cos(7π-α)]/cos(-α)②已知cosθ=-3/5,θ∈(π/2,π),求sin(θ+π/3_数学解答

①化简[sin(2π+α)*cos(7π-α)]/cos(-α)②已知cosθ=-3/5,θ∈(π/2,π),求sin(θ+π/3)的值

人气：458 ℃　时间：2020-03-02 21:54:42

解答

①cos(7π-α)=-cosα,cos(-α)=cosα,sin(2π+α)=sinα,所以整个式子化简得-sinα②根据cos²θ+sin²θ=1,cosθ=-3/5,得sinθ=±4/5；又θ∈(π/2,π),得sinθ=4/5；又sin(A+B)=sinAcosB+cosAsinB,得sin(...