Question

Triggg

Answer 1

\[\csc(4x) - 2 = 0\]

Answer 2

First step...
csc(4x) = 2
And then... would I do 4x = arccsc(2) ?

Answer 3

I would convert to sin, much more accessible on calculators.

Answer 4

If not, yeah, you're on the right track.

Answer 5

\[\large\rm \csc(4x)=2\qquad\to\qquad \frac{1}{\sin(4x)}=2\]How bout we flip everything?\[\large\rm \sin(4x)=\frac12\]

Answer 6

Flippity flip it and then chiggity check yourself before you wriggity wreck yourself

Answer 7

I think it's clip time:
https://www.youtube.com/watch?v=HMq7rTo7C6M

Answer 8

Omg yes I loved Sunny's Flipadelphia! :D

Answer 9

Use some double identity stuffs, I turned sin(4x) into:
2(sinxcosx)(cos^2x - sin^2x)

Am I on the right track?

Answer 10

Woah that's way over-complicating it D:\[\large\rm \sin(4x)=\frac12\qquad\to\qquad 4x=\frac{\pi}{6}+2kpi\]And another angle, ya?

Answer 11

Woops I didn't put a space between the k and pi -_-
\(\large\rm (ugly)~ kpi\)
\(\large\rm (niceeee)~ k\pi\)

Answer 12

Abbles absolutely don't expand it.

\(\large \sin (4x) = \frac{ 1 }{ 2 }\) goes to \[\large 4x = \sin^{-1} \left( \frac{ 1 }{ 2 } \right)\]

lol agreed, Zep.

Answer 13

Ha :P Oh.
x = pi/24 + kpi/2 ?

Answer 14

Yes, there is another angle though, right?
Like 5pi/6 or something

Answer 15

Oh, right! 5pi/6 + 2kpi

Answer 16

I mean 5pi/6 + kpi/2 :)

Answer 17

Abblesolutely.

Answer 18

Nice ^

Yes, before dividing by 4.

Answer 19

Err wait you did something weird..

Answer 20

You divided 2kpi by 4, but not the 5pi/6 by 4...
hmm

Answer 21

Yeah... not quite abblesolutely after all.

Answer 22

Nice catch... so it would be 5pi/24 + kpi/2

Also... do most people use k or n as the variable here, typically? My course taught n, but what is standard?

You guys are the best :)

Answer 23

n or k is fine. 5pi/24 + kpi/2 and don't forget pi/24 + kpi/2

Answer 24

thanks Agent!

Answer 25

n is more traditionally used for natural numbers (positive whole numbers).

But I'm sure agent would agree,
aint no thang
but a chicken wang

so whatever is fine

Answer 26

That's right. It's just that southernplayalisticadillac funky music, we're gonna get you, hiiiiighh... southernplayalistic

Answer 27

Great song
https://youtu.be/Bsg-q0JdgWU

Answer 28

lol :D

oh.. you're serious.. hmm

Answer 29

heeh

Answer 30

you guys...
I'm cracking up.
xD

Answer 31

@zepdrix yes it's a good song ;P

There's friction now. Abbles and I with cilantro. Zep and I with music.

Answer 32

Me and zep with almond butter -_-

Answer 33

the struggle is real