sec2A + tan2A = 3 అయితే, cot A విలువ ఎంత?

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 1)
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  1. \(\frac{1}{\sqrt{3}}\)
  2. 0
  3. 1
  4. \({\sqrt{3}}\)

Answer (Detailed Solution Below)

Option 3 : 1
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Detailed Solution

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ఇచ్చిన:

sec2A + tan2A = 3

ఉపయోగించిన భావన:

sec2 α - tan2 α = 1

లెక్కింపు:

sec2A + tan2A = 3      ....(1)

sec2A - tan2A = 1      ....(2)

 (1) మరియు (2) పరిష్కరించడం ద్వారా మనకు లభిస్తుంది,

sec2A + tan2A - sec2A + tan2A = 3 - 1 = 2

2tan2 A = 2

tan2 A = 1

So, tan A = √1 = 1

ఇప్పుడు, cot A = 1/1 = 1

cot A విలువ 1.

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