tan66° tan30° tan24° tan27°/cot63° का मान ज्ञात कीजिये।

  1. 1/√2
  2. √3
  3. 1/√3
  4. 0

Answer (Detailed Solution Below)

Option 3 : 1/√3
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
25 Qs. 50 Marks 10 Mins

Detailed Solution

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दिया गया है:

व्यंजक = tan66° tan30° tan24° tan27°/cot63°

प्रयुक्त अवधारणा:

cotθ = 1/tanθ

गणना:

tan66° tan30° tan24° tan27°/cot63°

 tan66° × 1/√3 × tan(90° - 66°) × tan(90° - 63°)/cot63°

⇒ tan66° × 1/√3 × cot66° × cot63°/cot63°

1 × 1/√3 × 1 = 1/√3

∴ tan66° tan30° tan24° tan27°/cot63° का मान 1/√3 है।

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