document.write( "Question 1011732: cot(x)*cot(2 x) = 1 \n" ); document.write( "

Algebra.Com's Answer #627474 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "We normally aren't given double angle formulas for cotangents.\r\n" );
document.write( "We usually only are given double angle formulas for tangents.\r\n" );
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document.write( "Since we know that , let's\r\n" );
document.write( "convert to tangents:\r\n" );
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document.write( "We take reciprocals of both sides, and since the reciprocal\r\n" );
document.write( "of 1 is 1, we have\r\n" );
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document.write( "We use the double-angle formula that we are always given:\r\n" );
document.write( "which is \r\n" );
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document.write( "Multiply both sides by the denominator on the left:\r\n" );
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document.write( "Solve for tan²(x)\r\n" );
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document.write( "Take square roots \r\n" );
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document.write( "Remembering the special 30°-60°-90° right triangle:\r\n" );
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document.write( "we know by the ą that the angle can be in any quadrant\r\n" );
document.write( "with a 30° reference angle, so the solutions are\r\n" );
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document.write( "30°, 150°, 210°, 330°  plus any integer n times 360°.\r\n" );
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document.write( "or in radians\r\n" );
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document.write( ",,, plus any integer n times .\r\n" );
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document.write( "Edwin

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