Question

Hi mates!!

Answer my question!

Answer 1

bhai pehle tanQ Ko aur cotQ ko break kro aur uske bad ye process hai

Answer 2

Step-by-step explanation:

$\implies \frac{ \cos(a) }{1 - \tan(a) } + \frac{ \sin(a) }{1 - \cot(a) } = \sin(a) + \cos(a) \\ \\ \implies \frac{ \cos(a) }{1 - \frac{ \sin(a) }{ \cos(a) } } + \frac{ \sin(a) }{1 - \frac{ \cos(a) }{ \sin(a) } } \\ \\ \implies \frac{ \cos(a) \times \cos(a) }{ \cos(a) - \sin(a) } + \frac{ \sin(a) \times \sin(a) }{ \sin(a) - \cos(a) } \\ \\ \implies \frac{ { \cos(a) }^{2} }{ \cos(a) - \sin(a) } - \frac{ { \sin(a) }^{2} }{ \cos(a) - \sin(a) } \\ \\ \implies \frac{ { \cos(a) }^{2} - { \sin(a) }^{2} }{ \cos(a) - \sin(a) } \\ \\ \implies \frac{ (\cos(a) + \sin(a) )\times ( \cos(a) - \sin(a) }{ \cos(a) - \sin(a) } \\ \\ \implies \sin(a) + \cos(a)$

hence proved.

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Identities Used :-

✴ a² - b² = (a + b )( a - b )

✴ Tanx = sinx / cosx

✴ Cotx = cosx / sinx