Question

solve on the interval (0, 2pi):
3 csc x - 1 = 2/3

Answer 1

k so try isolating csc x

Answer 2

csc x = 2/3 + 1?

Answer 3

lol........ where did the 3 from csc side go?

Answer 4

oh crap! the initial equation is "3 csc x - 1 = 2"! :/ i had already made an attempt to isolate the beginning and confused myself

Answer 5

k i will show u....... try following........ if u have question.... pls interrupt me in the middle ok?

Answer 6

right

Answer 7

k so first.......... csc x - 1 = (2/3)/3 ............ the 3 comes here to divide 2/3.............
so it will be csc x -1 = 2/9.............. all good?

Answer 8

no wait we don't divide (2/3) by three because the initial answer was 2 and the question i wrote wasn't supposed to be (2/3), just 3

Answer 9

DANG IT I MEANT JUST 2

Answer 10

so the question was......... 3 csc x -1 = 2.....?

Answer 11

yes

Answer 12

oh wow........... ok neva mind......... k so this time same..... divide.....
so we get csc x - 1 = 2/3........... agree?

Answer 13

agree

Answer 14

k now.......... bring the 1 to the other side......... so we get csc x = 2/3 + 1....
which equals csc x = 5/3........ agree?

Answer 15

because 1 is a whole number so we make it 3/3 to add....
gotcha so far.

Answer 16

yup.......... so in anyway... the addition is 5/3........ all good right?

Answer 17

yes

Answer 18

k now all u do is find x....... so now here to find x we take inverse of csc.......

this makes the equation look like csc^-1 (5/3)........... and after solving this u get x.................

all done......!!

Answer 19

use calculator and tell me what u get......

Answer 20

@giniasal ....... u there?

Answer 21

yah i just had to grab my calculator

Answer 22

k

Answer 23

ehm... i think i did this wrong...
to get csc on a calculator is 1/sin
so..if i'm doing inverse i'd put 1/sin^-1 (5/3)?

Answer 24

no actually csc^-1 is actually 1/csc.......... so u wuld have 1/(1/sin)...... so sin(5/3)

Answer 25

but @giniasal ........ to be on the safe side....... just use csc^-1

Answer 26

k do u have choices?

Answer 27

answer choices?

Answer 28

yah man, there's no csc option on my calculator (TI-83)

Answer 29

ohh......... ok no prb........ use this.....

http://www.wolframalpha.com/input/?i=csc%5E-1%285%2F3%29

Answer 30

ur answer is the degree part..... which is 36.81....

Answer 31

wow thanks so much!

Answer 32

sure....... anytime... glad to help...... :D :D

Answer 33

im sorry if i seemed like a bit dunce here, but i've been doing work for six straight hours and my brain is pretty drained right now. you actually did help me a lot

Answer 34

no.... no problem.... i understand........ it was good thou....... i hope u understood it....

Answer 35

:)