document.write( "Question 306787: Find sec(2/3pi). \n" ); document.write( "
Algebra.Com's Answer #219483 by texttutoring(324)![]() ![]() You can put this solution on YOUR website! Draw the unit circle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2pi/3 radians is equivalent to 120 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This means that your terminal arm will create an angle of 60 degrees with the x axis, in the second quadrant.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Secant = 1/Cosine\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The value of Cos(120) can then be found from the 30-60-90 triangle drawn in the second quadrant, as 120 degrees has a reference angle of 60 degrees. (This would probably make more sense with a picture, but I don't know how to draw one on here.)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Cos(120)=-1/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Sec(120) = -2/1 = -2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let me know if you need any clarifications. \n" ); document.write( " |