document.write( "Question 1202700: Solve equation, csc^2x = cotx + 1, on the interval 0 < or equal x < 2pi \n" ); document.write( "
Algebra.Com's Answer #837757 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "\"csc%5E2%28x%29+=+cot%28x%29+%2B+1\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2Bcot%5E2%28x%29+=+cot%28x%29+%2B+1\" Use a trig identity\r
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\n" ); document.write( "\n" ); document.write( "\"cot%5E2%28x%29+=+cot%28x%29\" Subtract 1 from both sides. The \"1\"s cancel.\r
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\n" ); document.write( "\n" ); document.write( "\"cot%5E2%28x%29+-+cot%28x%29+=+0\" Subtract cot(x) from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"cot%28x%29%28cot%28x%29+-+1%29+=+0\" Factor\r
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\n" ); document.write( "\n" ); document.write( "\"cot%28x%29=0\" or \"cot%28x%29+-+1+=+0\" Set each piece equal to zero\r
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\n" ); document.write( "\n" ); document.write( "\"cot%28x%29=0\" or \"cot%28x%29+=+1\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%28x%29+=+0\" or \"tan%28x%29+=+1\" Use another trig identity.\r
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\n" ); document.write( "\n" ); document.write( "I'll let the student finish up.
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