Math, asked by rahulverma6333, 2 months ago

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Answered by TheLifeRacer
14

Step-by-step explanation:

From LHS .

  ⇒ \frac{1}{secx - tanx \: } +  \frac{1}{secx  + tanx}

⇒ \frac{secx + tanx \:  + secx - tanx}{sec {}^{2}x - tan {}^{2}x }

⇒ \frac{2secx}{sec {}^{2} x - tan {}^{2}x }

We know that , sec²x-tan²x = 1

 ⇒ \therefore \: 2secx

But, secx = 1/cosx

  • ∴ 2× 1/cosx

  • = 2/cosx

  • LHS = RHS proved .

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Answered by Anonymous
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refer to this attachment ✅

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