Prove the following trigonometric identities-1-tan2 Acot 2 A -1-tan 2 A

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Trigonometric Ratios

Prove the fol...

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Prove the following trigonometric identities.

$\frac{1 - \tan^{2} A}{\cot^{2} A - 1} = \tan^{2} A$

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Prove the following trigonometric identities:

$(1 + t a n^{2} A) + (1 + \frac{1}{t a n^{2} A}) = \frac{1}{s i n^{2} A - s i n^{4} A}$

(1 + \tan^{2} A) + (1 + \frac{1}{\tan^{2} A}) = \frac{1}{\sin^{2} A - \sin^{4} A}

\sin^{2} A + \frac{1}{1 + \tan^{2} A} = 1

Prove the following trigonometric identities:\

$\frac{1 + c o s A}{s i n^{2} A} = \frac{1}{1 - c o s A}$

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$s i n^{2} A + \frac{1}{1 + t a n^{2} A} = 1$

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