Question

4. Prove that :
(i) sin (2 x 30°)=2 tan 30°/1+tan-30​

Answer 1

Answer:

Pls mark branliest.

Step-by-step explanation:

$\sin(2 \times 30) = \sin(60) = \frac{ \sqrt{3} }{2}$

$\frac{2 \tan(30) }{1 + { \tan(30) }^{2} } \\ = \frac{2 \times \frac{1}{ \sqrt{3} } }{1 + \frac{1}{3} } \\ = \frac{ \frac{2}{ \sqrt{ 3} } }{ \frac{4}{3} } \\ = \frac{2}{ \sqrt{ 3} } \times \frac{3}{4} \\ = \frac{ \sqrt{3} }{2}$

LHS=RHS

Hence proved.