Tan A - A-1-tan A - A-1-2 cosec A

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Implicit Differentiation

tan A / A-1+t...

Question

tan A/ sec A - 1 + tan A/ sec A+1 = 2 cosec A

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Solution

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\frac{t a n A}{1 + s e c A} - \frac{t a n A}{1 - s e c A} = 2 c o s e c A

\frac{tan A}{1 + sec A} - \frac{tan A}{1 - sec A} = 2 c o s e c A

\frac{tanA}{1 + sec A} - \frac{tan A}{1 - sec A} = 2 cosec A

Prove the following trigonometric identities:

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

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

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