Question

i) 2tan 30°/1+tan230° =
(A) sin 60° (B) cos 60°
(C) tan 60° (D) sin 30°

Answer 1

Answer:

D) sin 60

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Answer 2

(i) (A) is correct.

Substitute the of tan 30° in the given equation

tan 30° = 1/√3

2tan 30°/1+tan230° = 2(1/√3)/1+(1/√3)2

= (2/√3)/(1+1/3) = (2/√3)/(4/3)

= 6/4√3 = √3/2 = sin 60°

The obtained solution is equivalent to the trigonometric ratio sin 60°