Prove - sin A1-cos A-1-cos Asin A-2 cosec A-

sinA1+cosA+1+cosAsinA = 2cosecA LHS : sin^2A + (1+cosA)^2sinA(1+cosA) = sin^2A +1+ cos^2+2cosAsinA+ sinA cosA = 1+1+2cos AsinA(1+cosA) #160 ...

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Trigonometric Identity- 1

Prove : sin ...

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

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

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

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

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