document.write( "Question 933599: Can someone explain to me how the right triangle trigonometric functions are related to the unit circle trigonometric functions? I am finding this very confusing and the textbook is complicating things for me, not helping. Thank you so much in advance! \n" ); document.write( "
Algebra.Com's Answer #566949 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Can someone explain to me how the right triangle trigonometric functions are related to the unit circle trigonometric functions? I am finding this very confusing and the textbook is complicating things for me, not helping. Thank you so much in advance! \n" ); document.write( "------ \n" ); document.write( "Draw a circle. \n" ); document.write( "Let the radius be 1. \n" ); document.write( "Pick a point on the circle somewhere between 0 and 90 degrees \n" ); document.write( "Let the coordinates of that point be P(x,y) \n" ); document.write( "Draw a vertical line segment from P to the x-axis \n" ); document.write( "You now have a right triangle with base = x, height = y, hypotenuse = 1. \n" ); document.write( "The angle at the origin is \"t\". \n" ); document.write( "---- \n" ); document.write( "sin(t) = opp/hyp = y/1 = y \n" ); document.write( "cos(t) = adj/hyp = x/1 = x \n" ); document.write( "tan(t) = opp/adj = y/x \n" ); document.write( "---- \n" ); document.write( "csc(t) = hyp/opp = 1/y \n" ); document.write( "sec(t) = hyp/adj = 1/x \n" ); document.write( "cot(t) = adj/opp = x/y \n" ); document.write( "------------------------- \n" ); document.write( "Note: All above applies no matter when P is on the circle. \n" ); document.write( "------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------\r \n" ); document.write( "\n" ); document.write( "----- \n" ); document.write( "s \n" ); document.write( " |