document.write( "Question 606095: 1.Interval 0 is less than or equal to x which is less than or equal to 2pie. Solution of cos squaredx = cos x \r
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document.write( "2. Exspress as a single fraction,the exact value of sin 75° \n" );
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Algebra.Com's Answer #382039 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! For 0 < x < 2π \n" ); document.write( "cos^2x=cosx \n" ); document.write( "cos^2x-cosx=0 \n" ); document.write( "cosx(cosx-1)=0 \n" ); document.write( "cosx=0 \n" ); document.write( "x=π/2 and 3π/2 \n" ); document.write( ".. \n" ); document.write( "cosx-1=0 \n" ); document.write( "cosx=1 \n" ); document.write( "x=0 \n" ); document.write( "ans: \n" ); document.write( "x=0, π/2, and 3π/2\r \n" ); document.write( "\n" ); document.write( "2. Express as a single fraction,the exact value of sin 75º \n" ); document.write( "Using sin addition formula: \n" ); document.write( "sin 75=sin(30+45) \n" ); document.write( "=sin30cos45+cos30sin45 \n" ); document.write( "=1/2*√2/2+√3/2*√2/2 \n" ); document.write( "=√2/4+√6/4 \n" ); document.write( "=(√2+√6)/4 \n" ); document.write( " \n" ); document.write( " |