Prove tan(x) + cot(x) = sec(x) csc(x)

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


Tan(x) + cot(x) = sec(x) csc(x) - Trig Identities Proof

Proof :

LHS
= tan(x) + cot(x)

=
sin(x)

cos(x)
+
cos(x)

sin(x)

=
sin2(x) + cos2(x)

cos(x) × sin(x)

=
1

cos(x) × sin(x)

=
1

cos(x)
×
1

sin(x)

= sec(x) × csc(x)

= RHS

Hence Proved.
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