devarshi-dt-logo

Question:

Choose the correct option and justify your choice: 2tan30° / (1 - tan²30°)

√3

2

1/√3

√2

Solution:

The correct option is B. √3
We know that tan30° = 1/√3
The value of 2tan30° / (1 - tan²30°) = 2(1/√3) / (1 - (1/√3)²) = (2/√3) / (1 - 1/3) = (2/√3) / (2/3) = (2/√3) * (3/2) = √3