Prove that Sec θ. Cosec (90° - θ) - Tan θ. Cot( 90° - θ ) = 1

Prove that sec θ. cosec (90° - θ) - tan θ. cot( 90° - θ ) = 1.

Sum

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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