{(3 sin θ - cos θ) / (cos θ + sin θ)} = 1 అయితే, అప్పుడు cot θ విలువ:

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 1)
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  4. I మరియు II రెండు ముగింపులు అనుసరిస్తుంది

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ఇచ్చినది:

{(3Sinθ - Cosθ)/(Cosθ + Sinθ)} = 1

గణన:

మనకు త్రికోణమితి సమీకరణం ఉంది

{(3Sinθ - Cosθ)/(Cosθ + Sinθ)} = 1

లవము మరియు హారంను sin θతో భాగిస్తే, మనకు ఇలా లభిస్తుంది

⇒ [{(3sinθ - cosθ)/Sinθ}/{(cosθ + sinθ)/sinθ}] = 1

⇒ {(3 - cotθ)/(cotθ + 1)} = 1

⇒ 3 - cotθ = 1 + cotθ

⇒ 2cotθ = 2

cotθ = 1

విలువ 1.

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