Prove the following trigonometric identities-1-cos A sin A-sin A 1-cos A

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Complementary Trigonometric Ratios

Prove the fol...

Question

Prove the following trigonometric identities.

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

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

\frac{1 + cos A}{sin A} + \frac{sin A}{1 + cos A} = 2 csc A

Prove the following trigonometric identities:\

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

(1 + \cot A + \tan A) (\sin A - \cos A) = \frac{\sec A}{{cosec}^{2} A} - \frac{cosec A}{\sec^{2} A} = \sin A \tan A - \cot A \cos A

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

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