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Introduction to Trigonometry
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13/06/2021 11:07 am
Topic starter
Choose the correct option and justify your choice :
2tan 30°/1+tan230° =
(A) sin 60°
(B) cos 60°
(C) tan 60°
(D) sin 30°
1 Answer
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13/06/2021 11:08 am
Correct option: (A) sin 60°
Explanation:
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°