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2tan 30°/1+tan^2 30° = (A) sin 60° (B) cos 60° (C) tan 60° (D) sin 30°
Dear StudentOption (A) is correct.Substitute the of tan 30° in the given equationtan 30° = 1/√32tan 30°/1+tan^2 30° = 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°Thanks
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