If sec 4θ = cosec (θ + 20°), then θ is equal to:

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SSC CGL Previous Paper 53 (Held On: 10 June 2019 Shift 2)
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  1. 22°
  2. 18°
  3. 20°
  4. 14°

Answer (Detailed Solution Below)

Option 4 : 14°
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Detailed Solution

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Given:

 sec 4θ = cosec (θ + 20°)

Calculation:

sec 4θ = cosec (θ + 20°)

⇒ sec4θ = sec [90° – (θ + 20°)]

⇒ 4θ = 90° – θ – 20°

⇒ 5θ = 70°

⇒ θ = 14°

So, the value of θ is 14°

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