Show that- -cosecA-1-CosecA-1-CosecA-1-CosecA-1-2tanA-

√(cosec A+1cosec A 1) √(cosec A 1cosec A+1) =(√(cosec A+1))^2 (√(cosec A 1))^2√(cosec A 1)cosec A+1 =(cosec A+1) (cosec A 1)√(cosec^2A 1) =2 ...

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General Solution of Trigonometric Equation

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Question

Show that:
$\sqrt{\frac{c o s e c A + 1}{C o s e c A - 1}} - \sqrt{\frac{C o s e c A - 1}{C o s e c A + 1}} = 2 t a n A .$

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\frac{{cot}^{2} A}{1 + c o s e c A} + 1 = c o s e c A

\frac{1 + c o s e c A + cot A}{1 + c o s e c A - cot A} = \frac{c o s e c A + cot A - 1}{cot A - c o s e c A + 1}

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

\frac{cosec A}{cosec A - 1} + \frac{cosec A}{cosec A + 1} = m {sec}^{2} A

m

To prove -

(CosecA/CosecA-1)+(CosecA/CosecA+1)=2secA

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