document.write( "Question 495691: Find the exact value without a calculator:\r
\n" );
document.write( "\n" );
document.write( "cot(7pi/2) \n" );
document.write( "
Algebra.Com's Answer #336257 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Find the exact value without a calculator: \n" ); document.write( "cot(7pi/2) \n" ); document.write( "** \n" ); document.write( "There are different ways you can visualize doing this on a unit circle: \n" ); document.write( ".. \n" ); document.write( "π/2=90º \n" ); document.write( "7π/2=7*90=630º \n" ); document.write( "Rotating one revolution counter clockwise from zero, covers 360º. which means you have 270º left (630-360=270). Sin 270º=-1, and Cos 270º=0 \n" ); document.write( "Cot=cos/sin \n" ); document.write( "Cot(7π/2)=0/-1=0 \n" ); document.write( ".. \n" ); document.write( "7π/2=(3-1/2)π, which means you can visualize rotating thru π radians 3 times leaving π/2 left over which ends on 3π/2, where Cot=0. Similarly, you can visualize rotating 7 times thru π/2 which will also end on 3π/2. \n" ); document.write( " |