Prove the following trigonometric identities-i A -tan B B -tan A - A tan Bii tan A -tan B A - B -tan A tan B

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Complementary Trigonometric Ratios

Prove the fol...

Question

Prove the following trigonometric identities.

(i) $\frac{\cot A + \tan B}{\cot B + \tan A} = \cot A \tan B$

(ii) $\frac{\tan A + \tan B}{\cot A + \cot B} = \tan A \tan B$

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\frac{\tan A + \tan B}{\cot A + \cot B} = \tan A \tan B

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

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

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\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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