ഇതിന്റെ മൂല്യം കണ്ടെത്തുക. tan66° tan30° tan24° tan27°/cot63°.

  1. 1/√2
  2. √3
  3. 1/√3
  4. 0

Answer (Detailed Solution Below)

Option 3 : 1/√3
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നൽകിയിരിക്കുന്നത്:

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

ഉപയോഗിച്ച ആശയങ്ങൾ:

604eee2e1550f5bb2dcaa55c 16484705537471

604eee2e1550f5bb2dcaa55c 16484705537492

cotθ = 1/tanθ

കണക്കുകൂട്ടൽ:

tan66° tan30° tan24° tan27°/cot63° = tan66° × 1/√3 × tan(90° - 66°) × tan(90° - 63°)/cot63°

⇒ tan66° tan30° tan24° tan27°/cot63° = tan66° × 1/√3 × cot66° × cot63°/cot63°

⇒ tan66° tan30° tan24° tan27°/cot63° = 1/√3

∴ tan66° tan30° tan24° tan27°/cot63° ഇതിന്റെ മൂല്യം  1/√3 ആണ്.

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