Prove (1+cos(x)) / sin(x) = sin(x) / (1-cos(x))

Here is the step by step demonstrations to prove (1+cos(x)) / sin(x) = sin(x) / (1-cos(x)) trig identity easily.


(1+cos(x)) / sin(x) = sin(x) / (1-cos(x)) - Trig Identities Proof

RHS
=
sin(x)

1 - cos(x)

=
sin(x)

1 - cos(x)
×
1 + cos(x)

1 + cos(x)

=
sin(x) × (1 + cos(x))

1 - cos2(x)

=
sin(x) × (1 + cos(x))

sin2(x)

=
1 + cos(x)

sin(x)

= LHS

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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