document.write( "Question 1203689: Find all exact solutions on the interval
\n" ); document.write( "0 ≤ x < 2𝜋. (Enter your answers as a comma-separated list.)
\n" ); document.write( "cot(x) + 7 = 6 \n" ); document.write( "
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\n" ); document.write( "cot(x) + 7 = 6
\n" ); document.write( "cot(x) = 6-7
\n" ); document.write( "cot(x) = -1
\n" ); document.write( "1/tan(x) = -1
\n" ); document.write( "tan(x) = -1\r
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\n" ); document.write( "\n" ); document.write( "Use the unit circle to determine the solutions to tan(theta) = -1 are theta = 3𝜋/4 radians and theta = 7𝜋/4 radians.
\n" ); document.write( "These angles are in quadrants 2 and 4 respectively.\r
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\n" ); document.write( "\n" ); document.write( "3𝜋/4 radians = 135 degrees
\n" ); document.write( "7𝜋/4 radians = 315 degrees
\n" ); document.write( "These two angles are separated by 180 degrees (aka 𝜋 radians), which is half a revolution.\r
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\n" ); document.write( "\n" ); document.write( "Use a calculator in radian mode to confirm that
\n" ); document.write( "tan(3𝜋/4) = -1
\n" ); document.write( "tan(7𝜋/4) = -1
\n" ); document.write( "I'll let the student check each solution back into the original equation.\r
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\n" ); document.write( "\n" ); document.write( "Answers: 3𝜋/4, 7𝜋/4
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