" 15."cosec A+2cosec2A=sec A cot(A)/(2)" ."

cosec A- 2cot 2A cos A=

Prove that : (sec A - tan A)/ (cosec A + cot A) = (cosec A - cot A)/ (sec A + tan A)

Prove the following identity : (1+ cot A+tan A) (sin A-cos A) =(secA)/(cosec^2 A)- (cosec A)/(sec^2A) .

" (i) "(1+sec A+tan A)(1-cosec A+cot A)=2

Prove the following identities : ((cosec A - cot A)^(2) + 1)/(sec A (cosec A - cot A)) = 2 cot A

" (1) sec^(2)A+cosec^(2)A=sec^(2)A*cosec^(2)A

S=cosecx+cosec 2x+cosec 4x+…+cosec 2nx=cot(x/2)−cot2nx

( cos A - sin A + 1 ) / ( cos A + sin A - 1 ) = cosec A + cot A cosec A + cot A , = using the identity cosec ^ 2 A = 1 + cot^ 2 A .

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