(tan 60° - tan 30°)/(1 + tan 60°. Tan 30°) = ?(A) 1/√2(B) 1/√3

1.	(tan 60° - tan 30°)/(1 + tan 60°. Tan 30°) = ?(A) 1/√2(B) 1/√3(C) 1/√4(D) 1/√5
Answer» 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

(tan 60° - tan 30°)/(1 + tan 60°. Tan 30°) = ?(A) 1/√2(B) 1/√3(C) 1/√4(D) 1/√5

Answer»

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