Prove (sin4(x) - cos4(x)) / (sin2(x) - cos2(x)) = 1

Here is the step by step demonstrations to prove (sin4(x) - cos4(x)) / (sin2(x) - cos2(x)) = 1 trig identity easily.


(sin4(x) - cos4(x)) / (sin2(x) - cos2(x)) = 1 - Trig Identities Proof

LHS
=
sin4(x) - cos4(x)

sin2(x) - cos2(x)

=
(sin2(x) + cos2(x)) × (sin2(x) - cos2(x))

sin2(x) - cos2(x)

= sin2(x) + cos2(x)

= 1

= RHS

Hence Proved.
Trig identities proof are made simpler and easier here. Listed here various trig identities with the step by step proof.


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