document.write( "Question 922456: Find sin 2x, cos 2x, and tan 2x from the given information.
\n" ); document.write( "tan x = − 12/5, x in Quadrant II \n" ); document.write( "

Algebra.Com's Answer #559608 by lwsshak3(11628) $\"\"$ $\"About$

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Find sin 2x, cos 2x, and tan 2x from the given information.
\n" ); document.write( "tan x = − 12/5, x in Quadrant II
\n" ); document.write( "***
\n" ); document.write( "Given data shows you are working with a (5-12-13) reference right triangle in quadrant II
\n" ); document.write( "..
\n" ); document.write( "sinx=12/13
\n" ); document.write( "cosx=-5/13
\n" ); document.write( "..
\n" ); document.write( "sin2x=2sinxcosx=2*12/13*-5/13=-120/169
\n" ); document.write( "cos2x=cos^x-sin^2x=25/69-144/69=-119/169
\n" ); document.write( "tan2x=sin/cos=120/119
\n" ); document.write( "..
\n" ); document.write( "Check:
\n" ); document.write( "tanx=-12/5
\n" ); document.write( "x=112.62˚
\n" ); document.write( "2x=225.24˚
\n" ); document.write( "..
\n" ); document.write( "sin2x=sin(225.24)≈-0.7100
\n" ); document.write( "Exact value=-120/169≈-0.7100
\n" ); document.write( "..
\n" ); document.write( "costx=cos(225.24)≈-0.7041
\n" ); document.write( "Exact value=-119/169≈-0.7041
\n" ); document.write( "..
\n" ); document.write( "tan2x=tan(225.24)≈1.0084
\n" ); document.write( "Exact value=-120/119≈-1.0084
\n" ); document.write( " \n" ); document.write( "

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