Question

sin 4x=1 ; I need all the solutions.... plz help

Answer 1

Range?

Answer 2

yes

Answer 3

I am asking the range

Answer 4

0<x<pi

Answer 5

help me plz

Answer 6

sin4x=1/2
4x= π/6 , 5π/6 , 13π/6 , 17π/6 , 25π/6 , 29π/6 , 37π/6 , 41π/6
these are the points where sinx is equal to 1/2. the 4 in the original problem means you need to go around the until circle 4 times. so you would add 2π to each radian.
to get x by itself you divide each of those answers by 4
so, example π/6 / 4 .... π/6 * 1/4 = π/24
so your answers in radians are π/24, 5π/24, 13π/24, 17π/24, 25π/24, 29π/24, 37π/24, and 41π/24
i hope that helps!!!!!!!!!! :)
its confusing but i hope you understand it well!

Answer 7

did that help?

Answer 8

Hi do you still want help?

Answer 9

it helps... thank u

Answer 10

\[\sin4x=1=\sin(2n \pi+\frac{ \pi }{ 2 })\]
\[4x=2n \pi+\frac{ \pi }{ 2 },x=\frac{ 4n+1 }{ 8 }\pi\]
where n is an integer
\[x=\frac{ \pi }{ 8 },\frac{ 5 \pi }{ 8 },~for~0<x<\pi\]