求sin(2x+π/6）在区间[0,π/2]上的最大值和最小值,x属于R说详细点,sin（2x+π/2）在[0,π/2]的最大值及最小值

Question

求sin(2x+π/6）在区间[0,π/2]上的最大值和最小值,x属于R说详细点,
sin（2x+π/2）在[0,π/2]的最大值及最小值

Answer 1

0≤x≤π/2,则π/6≤2x+π/6≤7π/6
-1/2≤sin(2x+π/6)≤1
sin(2x+π/6)的最大值为1；最小值为-1/2.
0≤x≤π/2,则π/2≤2x+π/2≤3π/2
-1≤sin(2x+π/2)≤1
sin(2x+π/2)的最大值为1；最小值为-1.