inverse sine (sin( 5 pi/ 3))
2007-05-13 13:57:15 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
arcsin (-√3/2) = -π/3
the inverse sine function's range is only [-π/2, π/2], so 5π/3 is not in the range.
2007-05-13 14:16:27 · answer #1 · answered by Kathleen K 7 · 0⤊ 0⤋
Solving from 0 to 2pi:
Just draw the angle 5 pi/3 That's like -60 degrees, it's in the fourth quadrant.
Notice also that the sine of that angle(the y coordinate) is negative.
So there's another angle in the third quadrant that has the same y coordinate.
That's 60 degrees measured down from the x axis in the third quadrant or: 4 pi/3
So you have two answers 4 pi/3 and 5 pi/3.
2007-05-13 14:10:43 · answer #2 · answered by jsardi56 7 · 0⤊ 1⤋
5pi/3 the inverse sine and sine cancel out
2007-05-13 14:00:58 · answer #3 · answered by Donny Q 3 · 0⤊ 1⤋