Prove the following identity 1 A- A-1sin A- A

1/( A A)×( A + A)/( A + A) = [ A + A] (∵ A^2 ^2 A = 1) = #160; A A + 1/sin A #160; = 1/sin A A + 1/sin A = A He ...

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Derivative of Standard Functions

Prove the fol...

Question

Prove the following identity $\frac{1}{cot A - csc A} + \frac{1}{sin A} = - cot A$

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Prove the following identities:

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

(s i n A + s e c A)^{2} + (c o s A + c s c A)^{2} = (1 + s e c A . c s c A)^{2}

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

\frac{s i n A + c o s A}{s i n A - c o s A} + \frac{s i n A - c o s A}{s i n A + c o s A} = \frac{2}{2 s i n^{2} A - 1}

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