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Let's solve the LHS,
I am solving by taking x instead of θ, as I am unable to form an equation on this platform using θ,
LHS =
Converting the equation in sin and cos form,
=
=
Eliminating the sinx, we will get:
=
Multiplying Numerator and denominator by (1 + Cosx)
= X
=
Solving and Putting 1 -
=
, we will get:
=
= +
+
Taking the equation in cosec and cot form,
= +
+ 2 Cosecx Cotx
= (Cosecx + Cot x)² = RHS
∴ Proved
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