Prove tan2(x) / (tan2(x) + 1) = sin2(x)

Here is the step by step demonstrations to prove tan2(x) / (tan2(x) + 1) = sin2(x) trig identity easily.


Tan2(x) / (tan2(x) + 1) = sin2(x) - Trig Identities Proof

LHS
=
tan2(x)

tan2(x) + 1

=
sin2(x)

cos2(x)

sin2(x)

cos2(x)
+ 1

=
sin2(x)

cos2(x)

sin2(x) + cos2(x)

cos2(x)

=
sin2(x)

cos2(x)

1

cos2(x)

=
sin2(x)

cos2(x)
× cos2(x)

= sin2(x)

= RHS

Hence Proved.
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