Question

who will answer Brainlist​

Answer 1

$\sf \: LHS= \frac{ \sin(o) - \cos(o) }{ \sin(o) + \cos(o) } + \frac{ \sin(o) + \cos(o) }{ \sin(o) - \cos(o) } \\ \\ \sf \: \frac{( \sin(o) - \cos(o) ) {}^{2} +( \sin(o) - \cos(o)) {}^{2} }{( \sin(o) + \cos(o) )(\sin(o) - \cos(o) ) } \\ \\ \sf \: \frac{ \sin {}^{2} (o) + \cos {}^{2} (o) - 2 \sin(o) \cos(o) + \sin {}^{2} (o) \cos {}^{2} (o) + 2 \sin(o) \cos(o)}{ \sin {}^{2} (o) - \cos(o) } \\ \\ \sf \: as \: we \: know \: that \\ \sf \: { \red{ { \sin }^{2} + { \cos }^{2} = 1}} \\ \sf{ {1 - \cos {}^{2} = \sin {}^{2} }} \\ \sf{ { { \cos }^{2} = 1 - { \sin}^{2} }} \\ \sf{ { \cos {}^{2} = { \sin}^{2} - 1}} \\ \\ \sf \: \frac{1 + 1}{ \sin {}^{2} (o) + { \sin {}^{2} (o) } } \\ \\ \sf \: \frac{2}{2 \sin {}^{2} (o) - 1}$

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$\sf \: @WildCat7083$