Sec4x - sec2 x,=tan4x- tan2x
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Gaurav Seth 4 years, 5 months ago
Prove the following identites
sec4x - sec2x = tan4x + tan2x
SOLUTION
LHS = sec4x - sec2x
= sec2x(sec2x - 1)
= (tan2x + 1)(tan2x) (∵ sec2x - tan2x = 1)
= tan4x + tan2x
=RHS
Hence proved.
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