SOLUTION: Sorry to bother you, but I'm a bit stuck with this proof. "Prove {{{(2tan(A))/(1+tan^2(A))}}} = sin(2A) Any help would be greatly appreciated. Thank you

Question 703932: Sorry to bother you, but I'm a bit stuck with this proof.
"Prove = sin(2A)
Any help would be greatly appreciated.
Thank you
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!


 = sin(2A)

Work with the left side. Use the identity 
on the top and use the identity 
on the bottom:

 = 

Use the identity  on the bottom:





Invert and multiply:



Cancel the cosine in the bottom into one of the cosine
factors in the top



2sin(A)cos(A)

We use the identity 

sin(2A)

Edwin

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