sin 5pi = sin pi
True or false?
2007-09-17 08:55:44 · 5 answers · asked by sillyboys_trucksare4girls 2 in Science & Mathematics ➔ Mathematics
This is true because the graph for sine is periodic - that is, every 2 pi, it repeats. Therefore sin1pi = sin 3 pi = sin 5pi.
Incidentally, the value of sin at pi (180 degrees) is zero.
2007-09-17 09:03:17 · answer #1 · answered by Anonymous · 0⤊ 0⤋
sin pi = zero
sin kpi = zero for whatever k integer, so sin 5pi = sin pi is true.
2007-09-17 09:05:56 · answer #2 · answered by vahucel 6 · 0⤊ 0⤋
True. Since sin is a periodic function with period 2π, then
sin(Φ)=sin(Φ+n2π) for all n.
Doug
2007-09-17 09:04:47 · answer #3 · answered by doug_donaghue 7 · 0⤊ 0⤋
What is missing is the units.
They all are assuming the units are in radians.
If the units are not radians, the answer depends.
2007-09-17 09:10:16 · answer #4 · answered by a simple man 6 · 0⤊ 0⤋
false
2007-09-17 09:04:21 · answer #5 · answered by Jonny C 2 · 0⤊ 0⤋