document.write( "Question 1036995: Solve trig equation on the interval [0,2pi]:
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document.write( "sin^2x-cos^2x=0 \n" );
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Algebra.Com's Answer #651695 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Solve trig equation on the interval [0,2pi]: \n" ); document.write( "sin^2x-cos^2x=0 \n" ); document.write( "--- \n" ); document.write( "sin^2 - (1-sin^2) = 0 \n" ); document.write( "2sin^2 - 1 = 0 \n" ); document.write( "sin = ħsqrt(1/2) \n" ); document.write( "x = pi/4, 3pi/4, 5pi/4, 7pi/4\r \n" ); document.write( "\n" ); document.write( "======================= \n" ); document.write( "Or, \n" ); document.write( "sin^2x-cos^2x=0 \n" ); document.write( "(sin + cos)*(sin - cos) = 0 \n" ); document.write( "sin = cos \n" ); document.write( "sin = -cos \n" ); document.write( "Same as above \n" ); document.write( " \n" ); document.write( " |