SOLUTION: Show that {{{(Sintheta+1)/(1+costheta) + costheta/sintheta = 2cosectheta}}}

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Question 896455: Show that %28Sintheta%2B1%29%2F%281%2Bcostheta%29+%2B+costheta%2Fsintheta+=+2cosectheta
Answer by thesvw(77) About Me  (Show Source):
You can put this solution on YOUR website!
I will take theta as x
(sinx + 1)/(1+ cosx) + cosx/sinx = 2cosecx
(sinx(sinx+1) + cosx(1+cosx))/sinx*(1+cosx) =
((sinx)^2 + sinx + (cosx)^2 + cosx)/sinx*(1+cosx)
(sinx + 1 + cosx)/sinx*(1+cosx)
you can separate like this.
sinx/sinx*(1+cosx) + (1+cosx)/sinx*(1+cosx)
1/(1+cosx) + 1/sinx
This doesn't give the given answer 2cosecx. Something went wrong with the question.