R^(4)cos((pi)/(4))log(tan(cot A-1)/(2-sec^(2)A)=(cot A)/(1+tan A)

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

Prove the trigonometric identities: (1+cot A+tan A)(sin A-cos A)=(sec A)/(cos ec^(2)A)-(cos ecA)/(sec^(2)A)=sin A tan A-cot A cos A

sec^(2)(tan^(-1)4)+cosec^(2)(cot^(-1)3) =

(1)/(tan3A+tan A)-(1)/(cot3A+cot A)=cot4A

(sec 8 A-1)/( sec 4A-1)= ..................... A) (tan 2A)/( tan 8A) B) (tan 8A)/(tan 2A) C) (cot 8A)/(cot 2A) D) (tan 6A)/(tan 2A)

Prove the following identities: (tan A)/(1-cot A)+(cot A)/(1-tan A)=1+tan A+cot A=1+sec A cos ecA

sec^(2) (tan^(-1) 4) + cosec^(2) (cot ^(-1) 3) =?

Prove that {(1-cot^(2)((a-pi)/(4)))/(1+cot^(2)((a-pi)/(4)))+cos((a)/(2))*cot4a}sec((9 pi)/(2))=cos ec4 alpha

sin^(2)A*tan^(2)A+cos^(2)A*cot^(2) A= A) 1 + tan^(2)A + cot^(2) A B) tan^(2)A +cot^(2) A-1 C) 1 + sec^(2)A + tan^(2) A D) 1 + csc^(2)A + cot^(2) A