Prove the following trigonometric identities-sin 2 A -11-tan 2 A -1

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Derivative of Some Standard Functions

Prove the fol...

Question

Prove the following trigonometric identities.

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

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Prove the following trigonometric identities:

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

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

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

Prove the following trigonometric identities:

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

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

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