Prove that 11-sin A-11-sin A-22A

#160; 1 1 + sin A + #160; 1 1 sin A #160; 1 sin A + 1 + sin A ( 1 + sin A ) ( 1 sin A ) = #160; 2 1 sin ^ 2 A #160; ...

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Integration by Substitution

Prove that 1...

Question

Prove that
$\frac{1}{(1 + sin A)} + \frac{1}{(1 - sin A)} = 2 {sec}^{2} A$

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\frac{2}{1 - sin A} \times \frac{1}{1 + sin A} = 2 {sec}^{2} A

Prove the following trigonometric identities:

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

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

\sqrt{\frac{sin A + 1}{1 - sin A}} + \sqrt{\frac{1 - sin A}{sin A + 1}} = 2 sec A

\frac{sin A + 1 - cos A}{sin A - 1 + cos A} = \frac{1 + sin A}{cos A}

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