Show that tan⁴x +tan²x = sec⁴x ‐ sec²x
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As we know,
1+tan^2x=sec^2x
tan^2x=sec^2x-1
Now,
LHS
tan^2x(tan^2x+1)
(sec^2x-1)sec^2x
sec^4x-sec^2x
=RHS
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