What is the value of tan 6° × tan 45° × tan 84°?

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 2)
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  1. 1
  2. tan 6° × tan 39°
  3. 3
  4. tan 6° + tan 45° + tan 84° 

Answer (Detailed Solution Below)

Option 1 : 1
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Detailed Solution

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Given:

tan 6° × tan 45° × tan 84°

Concept used:

The value of trigonometry is used

Calculations:

⇒ tan 6° × tan 45° × tan 84°

As we know,

 tan 45° = 1

 tan 84° = cot (90 - 84) = cot 6°

According to the question

 \(tan6 °\times (1)\times cot6°\)

⇒ 1

⇒ Hence, Option 1 is correct

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