document.write( "Question 809616: Please help me with this Calculus II question:\r
\n" ); document.write( "\n" ); document.write( "Find all points of intersection of the given curves. (Assume
\n" ); document.write( "0 ≤ θ ≤ π.
\n" ); document.write( " Order your answers from smallest to largest θ. If an intersection occurs at the pole, enter POLE in the first answer blank.) \n" ); document.write( "

Algebra.Com's Answer #487669 by Edwin McCravy(20060) $\"\"$ $\"About$

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Please help me with this Calculus II question:
\n" ); document.write( " Find all points of intersection of the given curves. (Assume
\n" ); document.write( " 0 ≤ θ ≤ π.
\n" ); document.write( "Order your answers from smallest to largest θ. If an intersection occurs at the pole, enter POLE in the first answer blank.)
\n" ); document.write( " Here are the curves:
\n" ); document.write( " r = cos 3θ, r = sin 3θ
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document.write( "cos 3θ = sin 3θ since both = r \r\n" );
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document.write( " Divide both sides by cos 3θ\r\n" );
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document.write( "1 = tan(3θ)\r\n" );
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document.write( "So 3θ has referent angle 45° or , The tangent is positive in \r\n" );
document.write( "QI and QIII \r\n" );
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document.write( "Since we are requiring that  0 ≤ θ ≤ π, that means that\r\n" );
document.write( "                             0 ≤ 3θ ≤ 3π\r\n" );
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document.write( "So 3θ can be , , and \r\n" );
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document.write( "So θ can be , , and , which reduces to  \r\n" );
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document.write( "We find the value of r for each of those three values for θ, by substituting\r\n" );
document.write( "in either equation for r\r\n" );
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document.write( "when θ = ,r = cos 3θ = cos = cos = \r\n" );
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document.write( "So the first point is (r,θ) =  \r\n" );
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document.write( "when θ = ,r = cos 3θ = cos = cos = \r\n" );
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document.write( "So the second point is (r,θ) = \r\n" );
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document.write( "when θ = ,r = cos 3θ = cos = \r\n" );
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document.write( "So the third point is (r,θ) = \r\n" );
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document.write( "Edwin

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