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LHS
⇒tan∅-cot∅
⇒sin∅/cos∅-cos∅/sin∅
taking the lcm
⇒sin²∅-cos²∅/sin∅×cos∅
⇒sin²∅-(1-sin²∅)/sin∅×cos∅[cos²∅=1-sin²∅]
⇒sin²∅-1+sin²∅/sin∅×cos∅
⇒2 sin²∅-1/sin∅×cos∅= RHS
Hence Proved!!!!
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