Prove cos2(x) = (csc(x) cos(x)) / (tan(x) + cot(x))

Here is the step by step demonstrations to prove cos2(x) = (csc(x) cos(x)) / (tan(x) + cot(x)) trig identity easily.


Cos2(x) = (csc(x) cos(x)) / (tan(x) + cot(x)) - Trig Identities Proof

RHS
=
csc(x) cos(x)

tan(x) + cot(x)

=
1

sin(x)
× cos(x)

sin(x)

cos(x)
+
cos(x)

sin(x)

=
cos(x)

sin(x)

sin2(x) + cos2(x)

cos(x) sin(x)

=
cos(x)

sin(x)

1

cos(x) sin(x)

=
cos(x)

sin(x)
× cos(x) sin(x)

= cos2(x)

= LHS

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


Related Proofs :