Q. 44.2( 6 Votes )

# Choose the correct answer:tan 5° tan 25° tan 30° tan 65° tan 85° = ?A. √3B. 1/√3C. 1D. none of these

Answer :

Consider tan 5° tan 25° tan 30° tan 65° tan 85°

= tan 5° tan 85° tan 25° tan 65° tan 30°

= tan 5° tan (90 – 5)° tan 25° tan (90 – 25)° tan 30°

= (tan 5° cot 5°) (tan 25° cot 25°) tan 30°

= (1) × (1) × (1/√3)

= 1/√3

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