document.write( "Question 386706: Solve the following equation. assume that all angles are acute \r
\n" ); document.write( "\n" ); document.write( "Sin(3B-20`)= Cos(5B+30`)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "` is my degree sign because i cant figure out how to get one
\n" ); document.write( "

Algebra.Com's Answer #273438 by robertb(5830)\"\" \"About 
You can put this solution on YOUR website!
sin(3B - 20) = cos(5B + 30) = sin(90-(5B+30)) = sin(60-5B).
\n" ); document.write( "Then either 3B - 20 = 60- 5B,
\n" ); document.write( "or 3B - 20 = 180 - (60 - 5B).
\n" ); document.write( "The first equation gives 8B = 80, or B = 10. (A POSITIVE acute angle.)
\n" ); document.write( "The second equation gives 3B - 20 = 120 + 5B, or B = -70. (A NEGATIVE acute angle.)
\n" ); document.write( "
\n" ); document.write( "
\n" );