Prove the following identities

= (secx cosecx + 1)

LHS


We know that






We know that a3 - b3 = (a - b) (a2 + b2 + ab)



We know that sin2x + cos2x = 1.





We know that


= cosecx × secx + 1


= secx cosecx + 1


= RHS


Hence proved.


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