Question

tan⁴ tita + tan² tita = sec² tita*tan² tita
Please answer as soon as possible ​

Answer 1

Prove :

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sec^4 x - sec^2 x = tan^4 x + tan^2 x ______________________________

L .H. S

sec^4 x - sec^2 x

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

[note : sec^2 x - 1 = tan^2 x or sec^2 x = tan^2 x + 1 ]

= sec^2 x ( tan^2 x )

= ( tan^2 x + 1 ) ( tan^2 x )

= tan ^4 x + tan^2 x = R .H.S

L. H. S = R. H. S

hence, proved

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