Prove that sin A 1-cos A - 1-cos A sin A -2cosecA

Given, #160; sin A1+ cos A+1+ cos Asin A =sin^2A+(1+ cos A)^2sin A (1+ cos A) =sin^2A+1+cos^2A+2 cos Asin A (1+ cos A) =1+1+2 cos Asin A (1 ...

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Addition Rule of Differentiation

Prove that ...

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Prove that $\frac{sin A}{1 + cos A} + \frac{1 + cos A}{sin A} = 2 cosec A$

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

\frac{sin A}{1 + cos A} + \frac{1 + cos A}{sin A} = 2 c o s e c A .

Prove the following trigonometric identities:

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

(ii) $\sqrt{\frac{1 - c o s A}{1 + c o s A}} + \sqrt{\frac{1 + c o s A}{1 - c o s A}} = 2 c o s e c A$

\frac{1 + cos A + sin A}{1 + cos A - sin A} = \frac{1 + sinA}{cos A}

\frac{sin A + cos A}{sin A - cos A} + \frac{sin A - cos A}{sin A + cos A} = \frac{2}{2 {sin}^{2} A - 1}

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