The value of tan 25° tan 35° tan 45° tan 55° tan 65° is: 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 2)
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  1. 2
  2. 1
  3. √3
  4. 0

Answer (Detailed Solution Below)

Option 2 : 1
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Detailed Solution

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Calculation:

tan 25° tan 35° tan 45° tan 55° tan 65°

⇒ tan 25° tan 35° tan 45° tan (90° - 35°) tan (90° - 25°)

⇒ tan 25° tan 35° tan 45° Cot 35° Cot 25°

⇒  tan 45°  = 1

∴ The correct option is 2

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