4 tan θ = 3 అయిన \(\frac{4 \sin θ-\cos θ+1}{4 \sin θ+\cos θ-1}=\)  _________.?

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 4)
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  1. \(\frac{14}{11}\)
  2. \(\frac{12}{11}\)
  3. \(\frac{10}{11}\)
  4. \(\frac{13}{11}\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{13}{11}\)
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Detailed Solution

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ఇచ్చిన:

4 tan θ = 3

లెక్కింపు:

F3 SSC Arbaz 24-05-2023 Himanshu D1

పైథాగరస్ సిద్ధాంతాన్ని వర్తింపజేయడం

AC2 = AB2 + BC2

AC2 = 32 + 42

AC = 5

sinθ = 3/5

cosθ =4/5

\(\frac{4 \sin θ-\cos θ+1}{4 \sin θ+\cos θ-1}\)

పై విలువలను ఉంచండి

\(\frac{4 \times 3/5-4/5+1}{4 \times 3/5+4/5-1}\)

\(\frac{12/5-4/5+1}{12/5+4/5-1}\) = \(\frac{(12-4+5)/5}{(12 +4 - 5)/5}\)

\(\frac{13/5}{11/5}\) = \(\frac{13}{11}\)

ఎంపిక 4 సరైన సమాధానం.

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