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

(1+tan A)/(sin A)+(1+cot A)/(cos A)=2(sec A+cosec A)

Prove the following identity : (1 - tan x)^2+(1 -cot x)^2 = (sec x -cosec x)^2 .

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

prove that: (1-tan theta)^2+(1-cot theta)^2=(sec theta - cosec theta)^2

The expression cosec^(2)A cot^(2)A-sec^(2)A tan^(2)A-(cot^(2)A-tan^(2)A)(sec^(2)A cosec^(2)A-1) is equal to

The expression cosec^(2)A cot^(2)A-sec^(2)A tan^(2)A-(cot^(2)A-tan^(2)A)(sec^(2)A cosec^(2)A-1) is equal to

Prove the following identities: (1+tan A tan B)^(2)+(tan A-tan B)^(2)=sec^(2)A sec^(2)B(tan A+csc B)^(2)-(cot B-sec A)^(2)=2tan A cot B(csc A+sec B)

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

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