Prove the following identities.
Consider LHS,
LHS = 
+ 
We know that 
= cotθ and 
= tanθ.
⇒ 
+ 
= 
+ 
= 
+ 
= 
+ 
= 
[
- 
]
= 
[
]
We know that a3 – b3 = (a – b) (a2 + ab + b2).
⇒ 
+ 
= 
[
]
We know that sin2θ + cos2θ = 1.
⇒ 
+ 
= 
= 
+ 
We know that 
= cosecθ and 
= secθ.
∴ ⇒ 
+ 
= 1 + secθcosecθ = RHS
Hence proved.
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