Question

Prove (secx-1)(secx+1)(cosecx-1)(cosecx+1) =1

Answer 1

Step-by-step explanation:

= (secx-1)(secx+1)(cosecx-1)(cosecx+1)

= (sec^2 x - 1^2)(cosec^2 -1^2)

= (sec^2 x -1)(cosec^2 x -1)

= (tanx)(cotx)

= tanx ×1/tanx

=tanx/tanx

=1

Hence proved.

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