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Mathematics 18 Online
OpenStudy (lisa123):

Simplify the expression

OpenStudy (lisa123):

(cos^2x +sin^2x)/ (cot^2x -csc^2x)

OpenStudy (lisa123):

Please help!!

OpenStudy (kayla2001):

ill try what grade r u in

OpenStudy (lisa123):

11th this is pre-calc

OpenStudy (kayla2001):

wow im only in the 8th

Nnesha (nnesha):

\[\huge\color{green}{cos^2x + \sin^2x = ????}\]

OpenStudy (lisa123):

Yes @Nnesha and then divided by the rest

Nnesha (nnesha):

\[\huge\color{purple}{{\rm cot^2}\rm x = ???}\] change this also and then divide

Nnesha (nnesha):

cos^2x + sin^2 x = 1 right so cot^2x = ??? can you tell me please :)

OpenStudy (lisa123):

Oh I only know cot^2(x) + 1 = csc^2(x). Would that be the same thing?

Nnesha (nnesha):

okay subtract one both side then what you get ??

OpenStudy (lisa123):

cot^2x=csc^2x-1

Nnesha (nnesha):

yes right so \[\huge\frac{ \cos^2x+\sin^2x }{ \cot^2x -\csc^2x }\] \[\huge\frac{ 1 }{ \csc^2x-1-\csc^2x }\] now solve this

Nnesha (nnesha):

\[\huge\color{blue}{{\rm csc^2x -}\rm \csc^2x = ???}\]

OpenStudy (lisa123):

1

Nnesha (nnesha):

2-2 = ?? not one :)

OpenStudy (lisa123):

oh lol sorry 0

Nnesha (nnesha):

lol yeah that's find :) :D

Nnesha (nnesha):

so what you have left ??

OpenStudy (lisa123):

1?

Nnesha (nnesha):

nope

Nnesha (nnesha):

|dw:1421615422580:dw|??????

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