document.write( "Question 979963: Solve the equation on the interval [0,2pi)
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document.write( "4sec^2x-8=0
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document.write( "Type an exact answer in terms of pi. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expressions.
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Algebra.Com's Answer #601185 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! 4 sec^2 x=8 \n" ); document.write( "sec^2 x=2 \n" ); document.write( "sec x = +/- sqrt (2)\r \n" ); document.write( "\n" ); document.write( "sec x is 1/cos x \n" ); document.write( "Therefore sqrt 2=1/cos x; cos x=1/sqrt(2) or sqrt (2)/2 \n" ); document.write( "That occurs at 45 degrees (pi /4) and all around the 0, 2 pi interval, since it is +/-\r \n" ); document.write( "\n" ); document.write( "pi/4 \n" ); document.write( "3 pi/4 \n" ); document.write( "5pi/4 \n" ); document.write( "7 pi/4 \n" ); document.write( " \n" ); document.write( " |