Question

Evaluate : 2tan30°/1-tan^2 30°=?​

Answer 1

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)

Answer 2

Step-by-step explanation:

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