若cosα=1/5α属于(0.π/2)则sin(α-π/3)求答案_数学解答

若cosα=1/5α属于(0.π/2)则sin(α-π/3)
求答案

人气：318 ℃　时间：2020-05-09 03:46:07

解答

cosα=1/5α属于(0.π/2)
sinα=√1-cos平方α=2√6/5
所以
sin(α-π/3)
=sinαcosπ/3-cosαsinπ/3
=2√6/5·1/2-1/5·√3/2
=(2√6-√3)/10