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Left Hand Side

$=\frac{1}{cos^2A}-\frac{1}{cot^2A}$

$=\frac{1}{cos^2A}-tan^2A$

$=\frac{1}{cos^2A}-\frac{sin^2A}{cos^2A}$

$=\frac{1-sin^2A}{cos^2A}$

$=\frac{cos^2A}{cos^2A}$

$=1$

$=$ Right Hand Side

[ Proved ]

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Rules Applied :

  • $tan \theta = \frac{1}{cot \theta}$
  • $tan \theta = \frac{sin \theta}{cos \theta}$
  • $cos^2 \theta = 1 - sin^2 \theta$

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