Question

Answer please.... explain the method

Answer 1

i think it should be None of these..

Answer 2

Answer:

( a ) sin 60°

Step-by-step explanation:

$\frac{2tan30\degree}{1+tan^230\degree}$

Putting value of tan 30° = 1/√3

[2 (1/√3)] ÷ [1 + (1/√3)²]

[2/√3] ÷ [1 + 1/3]

[2/√3] ÷ [4/3]

[2/√3] × [3/4]

3/2√3

Multiplying Numerator and Denominator by √3

(3√3)/6

√3/2

From table you can observe that √3/2 = sin 60°

∴ Option ( a ) sin 60° is the correct answer