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

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प्रश्न

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

योग

उत्तर

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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अध्याय 18: Trigonometry - Exercise 2

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आईसीएसई Mathematics [English] Class 10
अध्याय 18 Trigonometry
Exercise 2 | Q 21
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