Q. 323.7( 6 Votes )

tan 5° × tan 30° × 4 tan 85° is equal to
A. 4/√3

B. 4√3

C. 1

D. 4

Answer :

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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