document.write( "Question 869666: Using sum or difference formulas, find the exact value of sin(195∘). Express your answer in the form sin(195degrees)=a√(1−√b)/4 for some numbers a and b. \n" ); document.write( "
Algebra.Com's Answer #524341 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Using sum or difference formulas, find the exact value of sin(195∘). Express your answer in the form sin(195degrees)=a√(1−√b)/4 for some numbers a and b. \n" ); document.write( "----------------- \n" ); document.write( "sin(195) = sin(150+45) = sin(150)*cos(45)+cos(150)*sin(45) \n" ); document.write( "----- \n" ); document.write( "Note: sin(150) = sin(30) = 1/2 \n" ); document.write( "cos(150) = -cos(30) = -sqrt(3)/2 \n" ); document.write( "------------------------------------- \n" ); document.write( "= (1/2)(sqrt(2)/2) + (1/2)sqrt(3)/2 \n" ); document.write( "----- \n" ); document.write( "= (sqrt(2) + sqrt(3))/4 \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "stan H. \n" ); document.write( "------------------ \n" ); document.write( " |