# tan 5° × tan 30° × 4 tan 85° is equal toA. 4/√3B. 4√3C. 1D. 4

tan 5° x tan 30° x 4 tan 85°

As,

tan (90 – θ) = cot θ

Therefore,

tan (90 85) x tan 30° x 4 tan 85°

cot 85° × tan 85° × 4 × tan 30°

1/tan 85 × tan 85° × 4 × tan 30°

As we know,

tan 30° = 1/√3

4 × tan 30°

4 × (1/3) = 4/3

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