Prove that `cosec A -2 cot 2 A cos A = 2 sin A.`

Prove that : (tan A + cot A) (cosec A - sin A) (sec A - cos A) = 1

Prove that : cos A (1 + cot A) + sin A (1 + tan A) = sec A + cosec A

Prove that : (cosec A - sin A) (sec A - cos A) sec^(2) A = tan A

Prove that: cotA-cot2A="cosec"2A

prove that tan A+cot A=2 cosec 2A

Prove that : cot^(2) A - cot^(2) B = (cos^(2) A - cos^(2) B)/ (sin^(2) A sin^(2) B) = cosec^(2) A - cosec^(2)B

Prove that : (cos A cot A)/ (1 - sin A) = 1 + cosec A

Prove that : (1 + cos A)/(1 - cos A) = (cosec A + cot A)^(2)

Prove that ( "cosec" A - sin A)(sec A- cos A)=(1)/((tan A+ cot A)).

Prove that ( sin 2 A )/( 1 - cos 2 A) = cot A