document.write( "Question 423744: please help me prove tan x = 2 sin x cos x/ 1+cos^2 x-sin^2 x \n" ); document.write( "
Algebra.Com's Answer #295476 by lwsshak3(11628)\"\" \"About 
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please help me prove tan x = 2 sin x cos x/ 1+cos^2 x-sin^2 x\r
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\n" ); document.write( "tan x=2sinxcosx/1+cos^2x-sin^2x
\n" ); document.write( "Starting with the right side
\n" ); document.write( "2sinxcosx/1+cos^2x-sin^2x
\n" ); document.write( "1=sin^2x+cos^x
\n" ); document.write( "=2sinxcosx/sin^2x+cos^2x+cos^2x-sin^2x
\n" ); document.write( "=2sinxcosx/2cos^2x
\n" ); document.write( "=sinxcosx/cos^2x
\n" ); document.write( "=sinx/cosx
\n" ); document.write( "=tanx
\n" ); document.write( "confirmed: right side = left side\r
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