सिद्ध कीजिए कि : `( 1 - tan A)^(2) + (1 - cot A)^(2) = (sec A - "cosec" A )^(2)`

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(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 : (tan A)/ (1 - cot A) + (cot A)/ (1 - tan A) = sec A cosec A + 1

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

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

The value of tan^(2) (sec^(-1)2)+ cot^(2) ("cosec"^(-1)2/(√ 3)) is