Question

(1+sin)(1-sin) /(1+cos)(1-cos)​

Answer 1

Step-by-step explanation:

(1+sin)(1-sin) /(1+cos)(1-cos)= cot²theta

Answer 2

Answer:

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$\huge\mathcal{\green{cot^2A}}$

Step-by-step explanation:

To find:-

$\frac{(1 + \sin(a))(1 - \sin(a) ) }{(1 + \cos(a)(1 - \cos(a) ) }$

$= \frac{ {1}^{2} - \sin {}^{2} (a) }{ {1 - { \cos {}^{2} (a) }^{} }^{} }$

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We know that

$1 - \sin {}^{2} (a) = \cos {}^{2} (a)$

$\huge\mathcal{\green{And}}$

$1 - \cos {}^{2} (a) = \sin {}^{2} (a)$

Using the above identity; we have

$= \frac{ \cos {}^{2} (a) }{ \sin {}^{2} (a) } = \cot {}^{2} (a)$

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