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Mathematics 26 Online
OpenStudy (anonymous):

help :) trigonometry .... proving identities.... please help...

OpenStudy (anonymous):

\[\frac{ \tan x }{ 1+\cos x } + \frac{ \sin x }{ 1-\cos x } = \cot x +\sec x \csc x\]

OpenStudy (anonymous):

@ash2326

OpenStudy (anonymous):

@.Sam.

OpenStudy (anonymous):

@ganeshie8

OpenStudy (anonymous):

@agent0smith

OpenStudy (agent0smith):

I'd try combining the fractions on the left

OpenStudy (anonymous):

yeah i also do that..

OpenStudy (anonymous):

but still i dont get the right answer

OpenStudy (***[isuru]***):

\[\frac{ \tan \ x (1 - \cos x ) + \sin x ( 1+ \cos x) }{ (1 - \cos x)(1+ cosx) }\]\[\frac{ \tan ( 1- \cos) + \sin ( 1 + \cos )}{ 1 - \cos^{2} }\]\[\frac{ \tan ( 1 - \cos) + \sin (1+ \cos ) }{ \sin^2 }\]\[\frac{ \sin \ sec ( 1 - \cos ) + \sin (1 + \cos) }{ \sin^{2}}\]\[\frac{ sec ( 1- \cos) }{ \sin } + cosec ( 1 + \cos)\]\[\sec \ cosec \ - \sec \ \cot + cosec + cosec \ \cos\] now simplify this... u will get ur answer .. can u do that ?

OpenStudy (anonymous):

=\[\frac{ \tan(1-cosx) + sinx(1+cosx) }{ (1+cosx) (1-cosx)}\] = \frac{ sinz }{ cosx }(1-cosx)+sinx(1+cosx) ----------------------------------- 1-cos^2x =

OpenStudy (anonymous):

\[\frac{ \tan \ x (1 - \cos x ) + \sin x ( 1+ \cos x) }{ (1 - \cos x)(1+ cosx) }\]\[\frac{ \tan ( 1- \cos) + \sin ( 1 + \cos )}{ 1 - \cos^{2} }\]\[\frac{ \tan ( 1 - \cos) + \sin (1+ \cos ) }{ \sin^2 }\]\[\frac{ \sin \ sec ( 1 - \cos ) + \sin (1 + \cos) }{ \sin^{2}}\]\[\frac{ sec ( 1- \cos) }{ \sin } + cosec ( 1 + \cos)\]\[\sec \ cosec \ - \sec \ \cot + cosec + cosec \ \cos\]

OpenStudy (***[isuru]***):

did u get ur answer ?

OpenStudy (anonymous):

no did'nt

OpenStudy (anonymous):

its confusing

OpenStudy (anonymous):

sorry

OpenStudy (***[isuru]***):

is it confusing to u from the beginning or is it after a certain step ?

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