document.write( "Question 809615: 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 ≤ 2π.
\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( "r = 1 − cos θ, r = 1 + sin θ
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Algebra.Com's Answer #487718 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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 ≤ 2π.
\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( " r = 1 − cos θ, r = 1 + sin θ
\n" ); document.write( "
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document.write( " 1 − cos θ = 1 + sin θ  , since both = r\r\n" );
document.write( "    −cos θ = sin θ\r\n" );
document.write( "Divide both sides by cos θ\r\n" );
document.write( "   \"%28-cos%28theta%29%29%2Fcos%28theta%29\" = \"sin%28theta%29%2Fcos%28theta%29\"\r\n" );
document.write( "   -1 = tan(θ)\r\n" );
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document.write( "   \r\n" );
document.write( "So θ has two possible values where 0 ≤ θ ≤ 2π. the tangent is negative\r\n" );
document.write( "in Q2 and Q4 and the reference angle is 45° or \"pi%2F4\", so θ is \"3pi%2F4\"\r\n" );
document.write( "in Q2 or \"7pi%2F4\" in Q4.\r\n" );
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document.write( "So the smaller value of θ is \"3pi%2F4\", and the value of r is gotten\r\n" );
document.write( "by substituting \"3pi%2F4\" for θ in either of the original equations:\r\n" );
document.write( "r = 1 − cos θ = 1 - cos\"%283pi%2F4%29\" = 1 - \"%28-sqrt%282%29%2F2%29\" = 1 + \"sqrt%282%29%2F2\" = \"%282%2Bsqrt%282%29%29%2F2\"\r\n" );
document.write( "So the first point is (r,θ) = (\"%282%2Bsqrt%282%29%29%2F2\", \"3pi%2F4\")\r\n" );
document.write( "The larger value of θ is \"7pi%2F4\", and the value of r is gotten\r\n" );
document.write( "by substituting \"7pi%2F4\" for θ in either of the original equations:\r\n" );
document.write( "r = 1 − cos θ = 1 - cos\"%287pi%2F4%29\" = 1 - \"%28sqrt%282%29%2F2%29\" = 1 - \"sqrt%282%29%2F2\" = \"%282-sqrt%282%29%29%2F2\"\r\n" );
document.write( "So the second point is (r,θ) = (\"%282-sqrt%282%29%29%2F2\", \"7pi%2F4\")\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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