cos 2θ = sin θ மற்றும் θ 0 மற்றும் 90° இடையே இருந்தால், θ எது?

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NTPC CBT-I (Held On: 28 Dec 2020 Shift 2)
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  1. 60°
  2. 30°
  3. 45°
  4. இவற்றில் எதுவும் இல்லை

Answer (Detailed Solution Below)

Option 2 : 30°
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Detailed Solution

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கொடுக்கப்பட்டது:

cos 2θ = sin θ

பயன்படுத்தப்பட்ட அடையாளம்:

Sin (90° - θ) = cos θ

கணக்கீடு:

Cos 2θ = sin θ

⇒ Sin (90° - 2θ) = sin θ

⇒ 90° - 2θ = θ

⇒ 3θ = 90°

⇒ θ = 30°

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