math problem?

Question

rad = square root sign

2rad3 sin (4x) = 3

Answer 1

2root3.sin(4x) =3

sin(4x) = 3/(2root3)

4x=arcsin(3/(2root3))

x = (1/4)arcsin(3/(2root3))

dont have a calculator so check this but i think arcsin(3/(2root3)) =pi/3.

so x=1/4 x pi/3
so x = pi/12

Answer 2

Here is what you need to do. First, divide both sides by 2, then you will have rad(3sin(4x))=3/2. Then square both sides, this gives you 3sin(4x)=9/4. Then divide both sides by 3, this gives you sin(4x)=3/4. Then do inverse sin to both sides (you can use your calculator), this gives you 4x=48.59. Then divide both sides by 4, and x=12.148 and you are done!

Answer 3

2√[3 sin (4x)] = 3
Multiply both sides by ½
√[3 sin (4x)] = 3/2

square both sides
3 sin(4x)= 9/4

Multiply both sides by 1/3
Sin(4x)= 3/4

4x = arcsine[3/4] Use a spreadsheet function or a calculator to figure that out… or look it up in a table.

You now have 4x=someting... multiply boty sides by1/4 to get x

Answer 4

square both sides
4 (3 sin(4x) ) =9
3 sin(4x)=9/4
sin(4x)=9/12=3/4
4x = arcsin(3/4)
x= arcsin(3/4) / 4

Answer 5

the answer is 4 rad

Answer 6

x = 15

2 sqrt 3 sin (60) = 3

4x = 60
x = 15

Answer 7

I will assume you are solving for x.
sin(4*x) = 3/(2*sqrt(3))
sin(4*x) = sqrt(3)/2
x = (1/4)*arcsin(sqrt(3)/2)
but arcsin(sqrt(3)/2) = Pi/3
so x = (1/4)*Pi/3
x = Pi/12

Answer 8

sin(4x) = 3/(2rad3)

take arcsin (or sin^-1):

4x = sin^-1(3/2rad3)

x = [sin^-1(3/2rad3)]/4

(which is the exact answer --- sorry do not have a calculator)

Answer 9

sin4x=sqrt(3)/2

4x=60
x=15

4x=120
x=30

Answer 10

omg i hate socatoa. sorry i suk at these and i dont remember how to do them