Question

hello!!
answer this!​

Answer 1

Answer:

hello

Step-by-step explanation:

plzz mark as brainiest and thanks

Answer 2

☞︎︎︎TO PROVE :-

$✪ \frac{ \cos {}^{2} ( \theta) }{1 - \tan( \theta) } + \frac{ \sin( \theta) }{sin \theta \: - \cos( \theta) } = 1 + \sin( \theta) \cos( \theta)$

PROOF :-

$\implies \: \frac{\cos {}^{2} ( \theta) }{1 - \frac{ \sin( \theta) }{ \cos( \theta) } } \: \: + \frac{ { \sin }^{3} \theta}{ \sin( \theta) - \cos( \theta) } \\ \\ \\ \implies \frac{ \cos {}^{3} ( \theta) }{ \cos( \theta) - \sin( \theta) } + \frac{ \sin {}^{3} ( \theta) }{ \sin( \theta) - \cos( \theta) } \\ \\ \\ \implies \: \frac{ \cos {}^{3} ( \theta) - \sin {}^{3} ( \theta) }{( \cos( \theta) - \sin( \theta) )( \cancel{sin \theta \: - cos \theta)} } \\ \\ \\ \implies \: \frac{ \cos( \theta) - \sin( \theta) ( \cos {}^{2} ( \theta) + \sin {}^{2} ( \theta) + \cos( \theta) + \sin( \theta) )}{( \cos {}^{2} ( \theta) - \sin {}^{2} ( \theta) ) } \\ \\ \\ \implies \: \boxed{1 + \cos( \theta) \sin( \theta) }$

HENCE PROVED :)