3 tan 20°.tan 45°.tan 70° এর মান কত ?

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SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 13 March, 2023 Shift 2)
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Answer (Detailed Solution Below)

Option 2 : 3
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প্রদত্ত:

3 tan 20°.tan 45°.tan 70°

অনুসৃত সূত্র:

tan θ = cot (90° - θ)

tan θ × cot θ = 1

tan 45° = 1

গণনা:

3 tan 20°.tan 45°.tan 70°

⇒ 3 tan 20°.tan 45°. cot (90° - 70°)  ..........tan θ = cot (90° - θ) ব্যাবহার করে 

⇒ 3 tan 20°.tan 45°. cot (20°)

⇒ 3 × tan 45°

⇒ 3 × 1

3

∴ বিকল্প 2 হল সঠিক উত্তর।  

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