document.write( "Question 916475: what is the exact value of sin2x, cos2x and tan2x if sinx=3/5,0\n" ); document.write( "
Algebra.Com's Answer #556233 by lwsshak3(11628)\"\" \"About 
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what is the exact value of sin2x, cos2x and tan2x if sinx=3/5, 0 < x < π/2
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\n" ); document.write( "You are working with a 3-4-5 reference right triangle in quadrant I.
\n" ); document.write( "sinx=3/5
\n" ); document.write( "cosx=4/5
\n" ); document.write( "..
\n" ); document.write( "sin2x=2sinxcosx=2*3/5*4/5=24/25
\n" ); document.write( "cos2x=cos^2x-sin^2x=16/25-9/25=7/25
\n" ); document.write( "tan2x=sin2x/cos2x=24/7
\n" ); document.write( "check:
\n" ); document.write( "sinx=3/5
\n" ); document.write( "x=36.87
\n" ); document.write( "2x=73.74˚
\n" ); document.write( "..
\n" ); document.write( "sin2x=sin(73.74˚)≈0.9600...w/calculator:
\n" ); document.write( "exact value=24/25≈0.9600...as computed
\n" ); document.write( "..
\n" ); document.write( "coss2x=cos(73.74˚)≈0.2800...w/calculator:
\n" ); document.write( "exact value=7/25≈0.2800...as computed
\n" ); document.write( "..
\n" ); document.write( "tan2x=tan(73.74˚)≈3.4286...w/calculator:
\n" ); document.write( "exact value=24/7≈3.4285...as computed
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