The value of cot 15° cot 25° cot 45° cot 75° cot 65° is:

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 3)
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  1. 1
  2. √3
  3. 2
  4. √2

Answer (Detailed Solution Below)

Option 1 : 1
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Detailed Solution

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Given:

cot 15°cot 25°cot 45° cot 75°cot 65°

Formulas used:

F4 Madhuri Teaching 27.03.2023 D1 V2

Calculation:

cot 15°cot 25°cot 45° cot 75°cot 65°

⇒ cot 15° × cot 25° × cot 45° × cot (90° - 15°) × cot (90° - 25°)

⇒ cot 15° × cot 25° × cot 45° × tan15° × tan 2

⇒ 1 × 1× 1 = 1

∴ The required result is 1

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