tan 5° tan 25° tan 45° tan 65° tan 85° का मान ________ के बराबर है।

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 2)
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  1. 4
  2. 3
  3. 1
  4. 2

Answer (Detailed Solution Below)

Option 3 : 1
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दिया गया है

tan 5° tan 25° tan 45° tan 65° tan 85°

प्रयुक्त अवधारणा

Tan (90 - θ) = cotθ 

गणना

⇒ tan (90 - 85) × tan (90 - 65) × tan 45° × tan 65° × tan 85° 

⇒ cot 85° × cot 65° × 1 × tan 65° × tan 85° = 1

अभीष्ट मान 1 है।

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