Question

cot =7/8. evaluate (1 + sin ) (1 - sin)/(1 + cos) (1 - Cos)
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Answer 1

Solution

$= \frac{(1 + \sin(a) )(1 - \sin(a)) }{(1 + \cos(a))(1 - \cos(a) ) } \\ = \frac{1 - \sin {}^{2} (a) }{1 - \cos {}^{2} (a) } \\ = \frac{ \cos {}^{2} (a) }{ \sin {}^{2} (a) } \\ = \cot {}^{2} (a) = (\frac{7}{8} ) {}^{2} = \frac{49}{64} \: \: (answer)$

Hope this helps you ✌️

Answer 2

refer the attachement