Question

cosec^2A + sec^2A / cosec^2A - sec^2A = 1 + tan^2 / 1 - tan^2A

Answer 1

In the picture attached are all possible solutions.

Answer is exact & decimal

Answer 2

HEY FRIEND........

HERE IS UR ANSWER...........

we know

sin x/ cos x = tan x so 1/cos x = tan x/ sin x or sec x= tan x cosec x

so cosec^2A+ sec^2A = cosec ^2 A + tan ^ 2 A cosec ^2 A = cosec ^2 A( 1+ tan ^2 A)

and

cosec^2A - sec^2A = cosec ^2 A - tan ^ 2 A cosec ^2 A = cosec ^2 A( 1- tan ^2 A)

by deviding we get (cosec^2A+ sec^2A)/ (cosec^2A- sec^2A) = (1+tan^2A)/(1-tan^2A)

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