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Question
Prove that sec θ. cosec (90° - θ) - tan θ. cot( 90° - θ ) = 1.
Solution
LHS = sec θ. cosec (90° - θ) - tan θ. cot( 90° - θ )
= sec θ. sec θ - tan θ. tan θ
= sec2θ - tan2θ
= 1
= RHS
Hence proved.
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