Prove the following trigonometric identities-i 1-sin A 1-sin A- A-tan Aii -1-cos A-1-cos A-cosec A- A

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Standard Formulae - 1

Prove the fol...

Question

Prove the following trigonometric identities.

(i) $\sqrt{\frac{1 + \sin A}{1 - \sin A}} = \sec A + \tan A$

(ii)

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Prove the following trigonometric identities:

(i) $\sqrt{\frac{1 + s i n A}{1 - s i n A}} = s e c A + t a n A$

(ii) $\sqrt{\frac{1 - c o s A}{1 + c o s A}} + \sqrt{\frac{1 + c o s A}{1 - c o s A}} = 2 c o s e c A$

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

Prove the following trigonometric identities:

$\frac{c o t A - c o s A}{c o t A + c o s A} = \frac{c o s e c A - 1}{c o s e c A + 1}$

Prove the following trigonometric identities:

$\frac{c o s A}{1 - t a n A} + \frac{s i n A}{1 - c o t A} = s i n A + c o s A$

\frac{c o s A}{1 - s i n A} + \frac{s i n A}{1 - c o s A} + 1 = \frac{s i n A c o s A}{(1 - s i n A) (1 - c o s A)}

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