Question

solve 2sin(2x)-cot(x)cos(x)=1-csc(x)

I have:

2(2 sin(x)cos(x)-cos(x)/sin(x)*cos(x)+1/sin(x)-1

not sure if that is correct yet

Answer 1

just continuing from where you are right now..

\(\Large 2sinxcosx - \frac{cos^2x}{sinx} + \frac{1}{sinx} - 1 = 0\)

btw...are you sure this is not proving??

Answer 2

im sure its solving

Answer 3

i would multiply by sin x

Answer 4

continuing from that...i'll group some terms...then tell me if you see something familiar (by that i mean if you get an idea on how to solve)

\(\Large (2sinxcosx - 1) + (\frac {-cos^2x}{sinx} + \frac{1}{sinx}) = 0\)

are you seeing something? or need i go on?

Answer 5

what happened to the 2 in the beginning?

Answer 6

hmm oh yeah..it's supposed to be 4sinxcosx then the rest

Answer 7

ok

Answer 8

lemme work it out, i'll show you in a min....if thats ok

Answer 9

sure :DDD

Answer 10

interesting problem btw..needs some imagination haha

Answer 11

my teacher is nutzzzo

Answer 12

lol =))) so...figured it out yet?

Answer 13

should i multiply by sin x?

Answer 14

multiply what by sinx?

Answer 15

the whole thing

Answer 16

get rid of the fractions

Answer 17

hmm...it works on rational fractions....go on..try

Answer 18

ok, so this is what i think i should have:
\[\sin(x)(\sin(x)-1)=0 and \cos(x)+1=0\]

Answer 19

huh? why'd you separate 2 equations?

Answer 20

x=0 x=π x=π/2 x=2π/3