Prove the following trigonometric identities-1-cos A 1-cos A-1-cos A 1-cos A-2 cosec A

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Complementary Trigonometric Ratios

Prove the fol...

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Prove the following trigonometric identities.

$\sqrt{\frac{1 - \cos A}{1 + \cos A}} + \sqrt{\frac{1 + \cos A}{1 - \cos A}} = 2 \cos e c A$

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Prove the following trigonometric identities:

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

Prove the following trigonometric identities:\

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

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

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

\sqrt{\frac{1 - \cos A}{1 + \cos A}} = \cos e c A - c o t A

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