document.write( "Question 390489: If tan2x = - 24/7, what are the values of sin x and cos x? \n" ); document.write( "
Algebra.Com's Answer #276966 by Edwin McCravy(20056) $\"\"$ $\"About$
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document.write( "If tan2x = - 24/7, what are the values of sin x and cos x?\r\n" );
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document.write( "To avoid conflict of notation I'm going to replace your x by q\r\n" );
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document.write( "Cross multiply:\r\n" );
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document.write( "Distribute:\r\n" );
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document.write( "Get 0 on the right\r\n" );
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document.write( "Divide both sides through by -2\r\n" );
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document.write( "Factor\r\n" );
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document.write( "Use 0 factor property on the first factor:\r\n" );
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document.write( "This could either be in the 1st quadrant or the 3rd since\r\n" );
document.write( "the tangent is positive in the 1st and 3rd quadrants.\r\n" );
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document.write( "So angle  could be either of these:\r\n" );
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document.write( "In either case r = 5\r\n" );
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document.write( "So we have\r\n" );
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document.write( "For the first graph , \r\n" );
document.write( "For the second graph , \r\n" );
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document.write( "Use 0 factor property on the second factor:\r\n" );
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document.write( "This could either be in the 2nd quadrant or the 4th since\r\n" );
document.write( "the tangent is negative in the 2nd and 4th quadrants.\r\n" );
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document.write( "So angle  could be either of these:\r\n" );
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document.write( "In either case r = 5\r\n" );
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document.write( "So we have\r\n" );
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document.write( "For the first graph , \r\n" );
document.write( "For the second graph , \r\n" );
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document.write( "Edwin
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