Question

who can help me with this 5=14 sin x

Answer 1

x=arcsin5/14+pk , k is whole number p=3,14

Answer 2

No i mean can you finish it up

Answer 3

x=arcsin5/15

Answer 4

can u please break it down

Answer 5

who can help me with this

Answer 6

What question are you asking?
Are you asking to solve 5=14sin(x)?

Answer 7

i just need someone to finish it up

Answer 8

exactly

Answer 9

do i have to divide through by 14sin

Answer 10

oh no :)

Answer 11

You need to first isolate the sin(x) by dividing 14 on both sides

Answer 12

okay then

Answer 13

taking arcsin( ) of both sides will give you a solution in the interval (-pi/2,pi/2)

Answer 14

20.92

Answer 15

is that correct

Answer 16

If you are looking for a solution in degrees
yes that is one solution to the equation posted
there are infinitely many more though

Answer 17

i approximated my answer

Answer 18

am just finding x

Answer 19

Are you looking for all the solutions?

Answer 20

are you solving in a a certain interval?

Answer 21

are you allowed to approximate?

Answer 22

The question has no instruction about approximation it only says find x

Answer 23

but am i correct

Answer 24

\[\sin(x)=a \\ \text{ where } a \in (-1,1) \\ \\ \text{ can be solved by using the following } \\ \sin(x+2 n \pi)=a \\ \text{ also } -\sin(x+\pi+2n \pi)=a \\ \text{ take solving } \sin(x)=\frac{-1}{2} \\ \implies \sin(x+2n \pi)=\frac{-1}{2} \implies x+ 2 n \pi=\arcsin(\frac{-1}{2}) \\ \implies x=\arcsin(\frac{-1}{2})-2n \pi \\ -\sin(x+\pi+2n \pi)=- \frac{1}{2} \implies \sin(x+\pi+2 n \pi)=\frac{1}{2} \implies x+\pi+2 n \pi= \arcsin(\frac{1}{2}) \\ \implies x=\arcsin(\frac{1}{2})-\pi-2 \pi n\]