Question

(tan 60° - tan 30°)/(1 + tan 60°. Tan 30°) = ?

(A) 1/√2

(B) 1/√3

(C) 1/√4

(D) 1/√5

Answer 1

The correct answer is (B) 1/√3.

On substituting the values of various T-ratios, we get

= (tan 60° - tan 30°)/(1 + tan 60°. Tan 30°)

= (√3 – 1/√3)/(1 + √3 x 1/√3)

= {(3 – 1)/√3}/(1 + 1)

= 2/2 x √3

= 1/√3