已知y=2sin(2x+π/6)求:(1)最值及相应的x(2)单调区间(3)周期(4)对称轴和对称中心
问题描述:
已知y=2sin(2x+π/6)求:(1)最值及相应的x(2)单调区间(3)周期(4)对称轴和对称中心
答
已知y=2sin(2x+π/6)求:(1)最值及相应的x2x+π/6=2kπ+π/22x=2kπ+π/3x=kπ+π/6取最大值22x+π/6=2kπ+3π/22x=2kπ+4π/3x=kπ+2π/3取最小值-2(2)单调区间递增区间:2kπ-π/2≤2x+π/6≤2kπ+π/22kπ-...若x∈(﹣π/6,π/2],求值域画出图像(一个周期)