document.write( "Question 992819: Given that tan θ − cot θ = 2,\r
\n" ); document.write( "\n" ); document.write( " find the possible values of tan θ, giving your answers in an exact form.\r
\n" ); document.write( "\n" ); document.write( " Hence solve the equation\r
\n" ); document.write( "\n" ); document.write( "tan θ − cot θ = 2\r
\n" ); document.write( "\n" ); document.write( " giving all values of θ between 0 and 360\r
\n" ); document.write( "\n" ); document.write( "I'm very confused how the questions are different? I really don't understand what the first question is asking me to do.
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Algebra.Com's Answer #612299 by ikleyn(52814) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Let x be tan(x): x = tan(x).\r
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\n" ); document.write( "\n" ); document.write( "Then cot(x) = $\"1%2Fx\"$ , and you have an equation\r
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\n" ); document.write( "\n" ); document.write( "x - $\"1%2Fx\"$ = 2.\r
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\n" ); document.write( "\n" ); document.write( "Simplify and solve it:\r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E2\"$ - $\"2x\"$ - $\"1\"$ = $\"0\"$ ,\r
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\n" ); document.write( "\n" ); document.write( " $\"%28x-1%29%5E2\"$ = $\"0\"$ .\r
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\n" ); document.write( "\n" ); document.write( "The root is x = 1.\r
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\n" ); document.write( "\n" ); document.write( "Thus tan(x) = 1.\r
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\n" ); document.write( "\n" ); document.write( "x = $\"pi%2F4\"$ = 45° and/or x = $\"pi%2F4+%2B+pi\"$ = $\"5pi%2F4\"$ = 225°.\r
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