Question

$\tan(a ) \div 1 - \cot(a) + \cot(a) \div 1 - \tan(a) = 1 + \sec(a) . \csc(a)$
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Answer 1

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$\huge\underline\frak\red{note}$

⇒tan∅ = sin∅/cos∅

⇒cot∅ = cos∅/sin∅

⇒a³-b³ = (a-b)(a²+ab+b²)

⇒sin²∅+cos²∅ = 1

⇒1/sin∅ = cosec∅

⇒1/cos∅ = sec∅

{all are used in this proven}