document.write( "Question 854741: Hello. Lately, I've been really confused about applying the unit circle to trigonometric functions and I still don't understand how 25pi/6 would equal 1/2 using the unit circle... However, I do understand that one full rotation around the unit circle is equivalent to 2pi or 6pi/3 if I'm not mistaken. If you could help me that would be greatly appreciated. \n" ); document.write( "
Algebra.Com's Answer #514863 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! I still don't understand how 25pi/6 would equal 1/2 using the unit circle. \n" ); document.write( "------- \n" ); document.write( "(25/6)pi = (4 + 1/6)pi \n" ); document.write( "4pi is just twice around the circle. \n" ); document.write( "So, (4+ 1/6)pi = (1/6)pi \n" ); document.write( "----- \n" ); document.write( "Not sure what you mean when you say 25pi/6 = 1/2 \n" ); document.write( "It doesn't. \n" ); document.write( "------- \n" ); document.write( "Maybe you meant sin(25pi/6) = sin(pi/6) = 1/2 \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================= \n" ); document.write( " |