Question

if Sin theta = 1/2 .show that 2Sin theta cos theta = 2 tan theta / 1 tan^2theta ​

Answer 1

Answer:

Step-by-step explanation:

Question

$Sin\alpha =1/2\\prove ,that,2sin\alpha cos\alpha =\frac{2tan\alpha }{1+tan^2\alpha }$

Alpha is theta

°$\alpha =30\\2sin30*cos30=\frac{2/\sqrt{3} }{sec^230} \\2*1/2*\sqrt{3}/2=\frac{2/\sqrt{3} }{4/3} \\\frac{\sqrt{3} }{2}=\frac{3}{\sqrt{3}*2 } \\\frac{\sqrt{3} }{2}= \frac{\sqrt{3} }{2}\\Hence .Proved$