Prove (csc(x) / sin(x)) - (cot(x) / tan(x)) = 1

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


(csc(x) / sin(x)) - (cot(x) / tan(x)) = 1 - Trig Identities Proof

LHS
=
csc(x)

sin(x)
-
cot(x)

tan(x)

=
1/sin(x)

sin(x)
-
1/tan(x)

tan(x)

=
1

sin2(x)
-
1

tan2(x)

=
1

sin2(x)
-
cos2

sin2(x)

=
1 - cos2(x)

sin2(x)

=
sin2(x)

sin2(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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