document.write( "Question 968425: 2 tan^2 x +sec^2 x=2 \n" ); document.write( "

Algebra.Com's Answer #591784 by lwsshak3(11628) $\"\"$ $\"About$

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2 tan^2 x +sec^2 x=2
\n" ); document.write( " $\"%282sin%5E2%28x%29%2Fcos%5E2%28x%29%29%2B%281%2Fcos%5E2%28x%29%29=2\"$
\n" ); document.write( "2sin^2(x)+1=2cos^2(x)
\n" ); document.write( "2sin^2(x)+1=2(1-sin^2(x))
\n" ); document.write( "2sin^2(x)+1=2-2sin^2(x))
\n" ); document.write( "4sin^2(x)-1=0
\n" ); document.write( "(2sinx+1)(2sinx-1)=0
\n" ); document.write( "sinx=-1/2
\n" ); document.write( "x=210˚, 330˚
\n" ); document.write( "or
\n" ); document.write( "2sinx-1=0
\n" ); document.write( "sinx=1/2
\n" ); document.write( "x=30˚, 150˚ \n" ); document.write( "

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