document.write( "Question 907463: Use an algebraic method to find the solution for 0<=x<=2pi of the equation 5cot x + 2cosec^2 x = 5 \n" ); document.write( "

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Use an algebraic method to find the solution for 0<=x<=2pi of the equation
\n" ); document.write( "5cot x + 2cosec^2 x = 5
\n" ); document.write( "***
\n" ); document.write( " $\"5cot%28x%29%2B2csc%5E2%28x%29=5\"$
\n" ); document.write( "csc^2(x)=cot(x)+1
\n" ); document.write( " $\"5cot%28x%29%2B2%28cot%5E2%28x%29%2B1%29=5\"$
\n" ); document.write( " $\"5cot%28x%29%2B2cot%5E2%28x%29%2B2=5\"$
\n" ); document.write( " $\"2cot%5E2%28x%29%2B5cot%28x%29-3=0\"$
\n" ); document.write( "(cot(x)+3)(2cot(x)-1)=0
\n" ); document.write( "cot(x)=-3
\n" ); document.write( "(Using inverse tan key of calculator set to radians)
\n" ); document.write( "x≈2.82, 5.96 (In quadrants II and IV in which cot<0)
\n" ); document.write( "or
\n" ); document.write( "cot(x)=1/2
\n" ); document.write( "x≈1.11, 4.25 (In quadrants I and III in which cot>0) \n" ); document.write( "

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