Prove that : `(sec A - cosec A ) (1 + tan A + cot A)= tan A sec A-cot A cosec A`.

(sec A - cos A) (cot A + tan A) = tan A sec A.

(1 + cot A — cosec A) (1 + tan A + sec A) = 2 .

Prove that sec A (1 -sin A) (sec A + tan A) =1.

sin A (1 + tan A) + cos A (1 + cot A) = sec A + cosec A .

Prove the following : (cot A - cos A)/(cot A + cos A) = (cosec A -1)/(cosec A + 1) .

Prove that tan A + cot A = 2 "cosec 2A" .

Prove that : cot^-1 3 + cosec^-1 sqrt5 = pi/4

Prove that : sec^2 (tan^(-1)2) + cosec^2 (cot^(-1) 3) = 15

Prove that (1 +cot theta -cosec theta )(1+tan theta +sec theta )=2.

Choose the correct option. Justify your choice : (sec A + tan A) (1-sin A) = ? a. sec A b. sin A c. cosec A d. cos A