Math, asked by TITANSTAR, 1 year ago

Prove the following identity :

Attachments:

Answers

Answered by Sudhir1188

put the value of all the ratios and make LHS =RHS

TITANSTAR: as if I don't know that

Sudhir1188: find in ur book

TITANSTAR: are u mad I know that we should prove LHS =RHS but I did not get the answer so I posted the question here and u answer if u know to do the sum instead don't comment

Answered by pulkitraina260ovri2y

$lhs \: = \frac{1}{ \sin( {x}^{2} ) \cos( {x}^{2} ) } \\ \: \: \: \: \: \: \: \: \: = \frac{( \sin( {x}^{2} ) + \cos( {x}^{2} ) )^{2} }{ \sin( {x}^{2} ) \cos( {x}^{2} ) } \\ \: \: \: \: \: \: \: \: \: \: = \frac{ \sin( {x}^{4} ) + \cos( {x}^{4} ) + 2 \sin( {x}^{2} ) \cos( {x}^{2} ) }{ \sin( {x}^{2} ) \cos( {x}^{2} ) } \\ \: \: \: \: \: \: \: \: = \tan( {x}^{2} ) + \cot( {x }^{2} ) + 2 \\ \: \: \: \: \: \: \: = rhs$
please mark brainliest

pulkitraina260ovri2y: divide each term of numerator by denominator

pulkitraina260ovri2y: did u get it

pulkitraina260ovri2y: ??

TITANSTAR: how did u get tan and cot

pulkitraina260ovri2y: thats what when u divide sin^4x by (sin^2x)(cos^2x) we get tan^2x

pulkitraina260ovri2y: she for cot

pulkitraina260ovri2y: same for cot

TITANSTAR: ya I got it

TITANSTAR: tq

pulkitraina260ovri2y: pls mark brainliest whenever possible

Previous Question

Next Question