document.write( "Question 749575: Please help me find the exact value of this trig. function: 6sin75-6sin15 \n" ); document.write( "
Algebra.Com's Answer #456060 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 6sin75-6sin15 \n" ); document.write( "----- \n" ); document.write( "6*sin(30+45) - 6*sin(60-45) \n" ); document.write( "----- \n" ); document.write( "= 6[sin(30)(cos(45))+(cos(30)(sin(45)] - 6[sin(60)*cos(45)-cos(60)sin(45)] \n" ); document.write( "------- \n" ); document.write( "= 6[(1/2)(sqrt(2)/2)+(sqrt(3)/2)(sqrt(2)/2)]- 6[(sqrt(3)/2)(sqrt(2)/2)-(1/2)(sqrt(2)/2] \n" ); document.write( "--------- \n" ); document.write( "= 6[sqrt(2)/4 + sqrt(6)/4] - 6[sqrt(6)/4 - sqrt(2/4] \n" ); document.write( "--------- \n" ); document.write( "= 6[(sqrt(2)+sqrt(6))/4] - 6[(sqrt(6)-sqrt(2))/4] \n" ); document.write( "--------- \n" ); document.write( "= (3/2)[sqrt(2)+sqrt(6)] - (3/2)[sqrt(6)-sqrt(2)] \n" ); document.write( "---- \n" ); document.write( "= 3*sqrt(2) \n" ); document.write( "=========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=========== \n" ); document.write( " |