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

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Standard Formulae - 1

Prove the fol...

Question

Prove the following trigonometric identities.

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

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

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

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

\cot θ - \tan θ = \frac{2 \cos^{2} θ - 1}{\sin θ \cos θ}

\tan θ - \cot θ = \frac{2 \sin^{2} θ - 1}{\sin θ \cos θ}

\frac{\sin A - 2 \sin^{3} A}{2 \cos^{3} A - \cos A} = \tan A

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