(1) 求满足sinα>√3/2的角α的取值范围,(2)求满足sinα>cosα的角的α的取值范围

(1),∵sinx,在 x∈(2kπ-π/2,2kπ+π/2)是增函数,sinα=√3/2,α=2kπ+π/3.sinα>√3/2,α>π/3,但(sinα)max=1,则α=2kπ+π/2.∴sinα＞√3/2时,α的取值范围为：α∈(2kπ+π/3,2kπ+π/2).(2).∵sinα>cosα....