sec θ + tan θ = 5 எனில், tan θ இன் மதிப்பைக் கண்டறியவும்.

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)
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  1. \(\frac{5}{12}\)
  2. \(\frac{13}{5}\)
  3. \(\frac{13}{3}\)
  4. \(\frac{12}{5}\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{12}{5}\)
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Detailed Solution

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கொடுக்கப்பட்டது:

sec θ + tan θ = 5

பயன்படுத்தப்பட்ட கருத்து:

sec θ + tan θ = y என்றால்

பின்னர் sec θ - tan θ = 1/y

கணக்கீடு:

sec θ + tan θ = 5 ----- (1)

பிறகு,

sec θ - tan θ = 1/5 ------- (2)

சமன்பாடு (1) மற்றும் (2) ஐக் கழித்தல். 

⇒ (sec θ + tan θ) - (sec θ - tan θ) = (5 - 1/5)

⇒ sec θ + tan θ - sec θ + tan θ = 24/5

⇒ 2 x tan θ = 24/5

⇒ tan θ = 12/5

∴ சரியான பதில் 12/5.

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