Evaluate : 2tan30°/1-tan^2 30°=?
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Find the Exact Value (2tan(30))/(1-tan(30)^2)
2tan(30)1−tan2(30)2tan(30)1-tan2(30)
The exact value of tan(30)tan(30) is √3333.
2√331−tan2(30)2331-tan2(30)
Simplify the denominator.
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2√332323323
Combine 22 and √3333.
2√332323323
Multiply the numerator by the reciprocal of the denominator.
2√33⋅32233⋅32
Cancel the common factor of 22.
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√33⋅333⋅3
Cancel the common factor of 33.
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√33
The result can be shown in multiple forms.
Exact Form:
√33
Decimal Form:
1.73205080…1.73205080…
2tan(30)1−tan2(30)2tan(30)1-tan2(30)
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Step-by-step explanation:
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