Hi can you please help me answer this.
Without a calculator how can you find the first positive solution for
Cosec 3x = 2
I would presume the first step is
1/sin3x=2 but where do i go from here?
2007-09-29 08:26:07 · 4 answers · asked by biscuit.heads 2 in Science & Mathematics ➔ Mathematics
csc(3x) = 2
1/sin(3x) = 2
sin(3x) = 1/2
3x = 30
x=10
2007-09-29 08:33:43 · answer #1 · answered by de4th 4 · 0⤊ 0⤋
1/sin3x = 2
sin3x = 1/2
if sinx = 1/2 then the solution is
x= 30 degree ( Ï/6) and x = 150 degree (5Ï/6)
but sin3x= 1/2 then solution is
3x= 30 and 3x = 150
x = 10 degree ( Ï/18) and x = 50 degree ( 5Ï/18)
2007-09-29 08:31:46 · answer #2 · answered by Helper 6 · 0⤊ 0⤋
sin3x=1/2 so 3x = pi/6 and x= pi/18 (first positive solution)
2007-09-29 08:31:09 · answer #3 · answered by santmann2002 7 · 0⤊ 0⤋
1/sin3x=2
sin3x=1/2
3x=Ï/6
x=Ï/18=10°
2007-09-29 08:39:28 · answer #4 · answered by chasrmck 6 · 0⤊ 0⤋