document.write( "Question 873344: sec(x)=radical 5 with sinx>0, find tan(2x) \n" ); document.write( "
Algebra.Com's Answer #526845 by lwsshak3(11628)\"\" \"About 
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sec(x)=radical 5 with sinx>0, find tan(2x)
\n" ); document.write( "Given reference angle x is in quadrant I
\n" ); document.write( "\"secx=sqrt%285%29\"
\n" ); document.write( "\"cosx=1%2Fsecx=1%2Fsqrt%285%29=sqrt%285%29%2F5\"
\n" ); document.write( "
\n" ); document.write( "\"tanx=sinx%2Fcosx=sqrt%2820%29%2Fsqrt%285%29=sqrt%284%29=2\"
\n" ); document.write( "Identity: \"tan%282x%29=%282tanx%29%2F%281-tan%5E2%28x%29%29=4%2F%281-4%29=4%2F-3=-4%2F3\"
\n" ); document.write( "Calculator check:
\n" ); document.write( "cosx=√5/5
\n" ); document.write( "x≈63.43˚
\n" ); document.write( "2x≈126.86˚
\n" ); document.write( "tan 2x≈tan(126.86)≈-1.333…
\n" ); document.write( "exact value as calculated above=-4/3≈-1.333…
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