Prove each of the following identities:
Consider L.H.S. = 
Multiply and divide by (1 – cos θ):
= 
= 
= 
= (1 – cos θ)/sin θ
= (1/sin θ) – (cos θ/sin θ)
= cosec θ – cot θ
= R.H.S.
Hence, proved.
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