If sec2θ + tan2θ = 5/3, then what is the value of tan2θ?

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SSC CGL Previous Paper 6 (Held On: 8 August 2017 Shift 3)
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  1. 2√3
  2. √3
  3. 1/√3
  4. Cannot be determined

Answer (Detailed Solution Below)

Option 2 : √3
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PYST 1:SSC CGL 2023 - Quantitative Aptitude(Held On:14 Jul 2023 Shift 1)
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Detailed Solution

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Concept used: 

sec2(x) = 1 + tan2(x)

Calculation:

⇒ sec2θ + tan2θ = 5/3

⇒ 1 + tan2θ + tan2θ = 5/3

⇒ 2tan2θ = 2/3

⇒ tanθ = 1/√3

⇒ θ = 30

∴ tan(2θ) = tan(60) = √3
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