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$step \: by \: step \: explanation$

Answer 1

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Answer 2

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$\huge \bf{ \pink{ QUESTION}}$


Prove that :-

$\sf{ \frac{(1 + cot \: a + tan \: a)(sin \: a \: - cos \: a)}{( {sec}^{3} a - {cosec}^{3} \: a} = {sin}^{2} a \times cos ^{2}a }$





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Taking LHS .



$\sf{ \frac{(1 + cot \: a + tan \: a)(sin \: a \: - cos \: a)}{( {sec}^{3} a - {cosec}^{3} \: a} = {sin}^{2} a \times cos ^{2}a }$

In this first change all the trigonometric ratios in the form if sin and cos .

then

we will solve it and get RHS

For solution refer to pic

Hence LHS = RHS



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