`color(red)(✍️ ul "Domain :")` all real numbers
`color(green)(✍️ ul "Range :")` `" "[-1 , 1]`
`color(red)(✍️ ul "Period = ")` `2pi`
`color(green)(✍️ ul "x intercepts : ")` `color(blue)(x = k pi)` , where `k` is an integer.
`color(red)(✍️ ul "y intercepts : ")` `color(blue)(y = 0)`
`color(green)(✍️ ul "maximum points :")` `color(blue)((pi/2 + 2 k pi "," 1))` , where `k` is an integer.
`color(red)(✍️ ul "Minimum points :")` `color(blue)(((3pi)/2 + 2 k pi "," -1))` , where `k` is an integer.
`color(green)(✍️ ul "Symmetry:")` since `color(blue)(sin(-x) = - sin (x))` then `sin (x)` is an odd function and its graph is symmetric with respect to the origin `(0 , 0).`
`color(red)(✍️ ul "Iintervals of increase/decrease: ")` over one period and from `0` to `2pi, sin (x)` is increasing on the intervals `(0 , pi/2)` and `((3pi)/2 , 2pi),` and decreasing on the interval `(pi/2 , (3pi)/2).`
`color(red)(✍️ ul "Domain :")` all real numbers
`color(green)(✍️ ul "Range :")` `" "[-1 , 1]`
`color(red)(✍️ ul "Period = ")` `2pi`
`color(green)(✍️ ul "x intercepts : ")` `color(blue)(x = k pi)` , where `k` is an integer.
`color(red)(✍️ ul "y intercepts : ")` `color(blue)(y = 0)`
`color(green)(✍️ ul "maximum points :")` `color(blue)((pi/2 + 2 k pi "," 1))` , where `k` is an integer.
`color(red)(✍️ ul "Minimum points :")` `color(blue)(((3pi)/2 + 2 k pi "," -1))` , where `k` is an integer.
`color(green)(✍️ ul "Symmetry:")` since `color(blue)(sin(-x) = - sin (x))` then `sin (x)` is an odd function and its graph is symmetric with respect to the origin `(0 , 0).`
`color(red)(✍️ ul "Iintervals of increase/decrease: ")` over one period and from `0` to `2pi, sin (x)` is increasing on the intervals `(0 , pi/2)` and `((3pi)/2 , 2pi),` and decreasing on the interval `(pi/2 , (3pi)/2).`