Question

Only for Genius..Solve in 3 minutes

Answer 1

done under 3 minutws

Answer 2

Heya mate, Here is ur answer

Let us take theta as A

Given Cot A =7/8

1)
$\frac{(1 + sin \: a)(1 - sin \: a)}{(1 + cos \: a)(1 - cos \: a)}$
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We know that (a+b)(a-b)=a^2 -b^2

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

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We know that 1 - sin ^2 A = cos ^A

And 1 - cos^2 A = Sin ^2 A

= $\frac{cos \: {}^{2}a }{sin \: {}^{2} a}$
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We know that Cos A/ Sin A = Cot A

So,

= $cot { {}^{} }^{2} a$

= $( \frac{7}{8}) {}^{2}$

=$\frac{49}{64}$
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Also, Cot ^2 A =49/64

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@Laughterqueen

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