Question

2
$\frac{2 \tan(30) }{1 + { \tan(45) }^{2} ?}$
​

Answer 1

Solution :

For solving this question, we should learn the trignomentric ratios from 0° to 90° of tanθ.

2 tan (30°) / 1 + tan (45°)^2

=> 2 tan (30°) / 1 + tan (45°)^2

We know that,

tan 30° = 1/√3

tan 45° = 1

2 tan (30°) / 1 + tan (45°)^2

Putting the values :

=> 2 (1/√3) / 1 + (1)^2

=> 2 × 1/√3 / 1 + (1)^2

=> 2 × 1/√3 / 1 + 1

=> 2/√3 / 2

=> 2/√3 × 1/2

=> 1/√3

Answer : 1/√3