document.write( "Question 1197233: Find the value of sin (arc cos 1/2 + arc tan 1) \n" ); document.write( "
Algebra.Com's Answer #830417 by Theo(13342)![]() ![]() You can put this solution on YOUR website! acos(1/2) = 60 degrees \n" ); document.write( "atan(1) = 45 degrees. \n" ); document.write( "sin(60 + 45) = sin(105) = .9659258263 \n" ); document.write( "if you let a = 60 and b = 45, you get: \n" ); document.write( "sin(a+b) = sin(a)cos(b) + cos(a)sin(b) = sin(60)cos(45) + cos(60)sin(45) = sqrt(3)/2 * sqrt(2)/2 + 1/2 * sqrt(2)/2 = sqrt(3)*sqrt(2)/4 + sqrt(2)/4 = (sqrt(6)+sqrt(2))/4 = .9659258263. \n" ); document.write( " \n" ); document.write( " |