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Introduction to Trigonometry
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13/06/2021 11:23 am
Topic starter
Choose the correct option and justify your choice:
2tan30°/1-tan230° =
(A) cos 60°
(B) sin 60°
(C) tan 60°
(D) sin 30°
1 Answer
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13/06/2021 11:24 am
Correct option: (C) tan 60°
Explanation:
Substitute the of tan 30° in the given equation
tan 30° = 1/√3
2tan30°/1-tan230° = 2(1/√3)/1-(1/√3)2
= (2/√3)/(1-1/3) = (2/√3)/(2/3)
= √3 = tan 60°
The value of the given equation is equivalent to tan 60°.