1-tan 3A - tan A - 1-cot 3 A - cot A -

1/tan 3A tan A 1/cot 3 A cot A = 1/tan 3A tan A tan A tan 3A/tan 3 A tan A = 1/tan 2A = cot 2A. ...

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Trigonometric Ratios for Sum of Two Angles

1/tan 3A - ta...

Question

$\frac{1}{t a n 3 A - t a n A}$ - $\frac{1}{c o t 3 A - c o t A}$ =

tanA

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tan2A

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cotA

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cot2A

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$\frac{1}{t a n 3 A - t a n A}$ - $\frac{1}{c o t 3 A - c o t A}$ =

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

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

\frac{t a n A}{1 - c o t A} + \frac{c o t A}{1 - t a n A}

Which of the following options is equal to $\frac{tan A}{1 - cot A} + \frac{cot A}{1 - tan A}$ ?

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