document.write( "Question 278839: Solve for B to the nearest tenth of a degree in interval odegrees<= B<= 360degrees forth equation \r
\n" );
document.write( "\n" );
document.write( "3(1-sin^2 B) = sin B\r
\n" );
document.write( "\n" );
document.write( "I tried this
\n" );
document.write( "The quadratic equation- which left me with 1 +/- square root 37/ 6 if this is correct- how am i supposed to enter this into the calculator- if it is not right then where did I go wrong? \n" );
document.write( "
Algebra.Com's Answer #202846 by CharlesG2(834)![]() ![]() ![]() You can put this solution on YOUR website! Solve for B to the nearest tenth of a degree in interval odegrees<= B<= 360degrees forth equation \n" ); document.write( "3(1-sin^2 B) = sin B \n" ); document.write( "I tried this \n" ); document.write( "The quadratic equation- which left me with 1 +/- square root 37/ 6 if this is correct- how am i supposed to enter this into the calculator- if it is not right then where did I go wrong?\r \n" ); document.write( "\n" ); document.write( "3(1 - sin^2 B) = sin B \n" ); document.write( "1 - sin^2 B = 1/3 * sin B \n" ); document.write( "sin^2 B - 1 = -1/3 * sin B (divided both sides by -1) \n" ); document.write( "sin^2 B + 1/3 * sin B - 1 = 0 \n" ); document.write( "replace sin B with x \n" ); document.write( "x^2 + 1/3 * x - 1 = 0 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "since x = sin B \n" ); document.write( "we need to solve sin^(-1) x = B \n" ); document.write( "x2 won't work since x needs to be between -1 and 1 \n" ); document.write( "solving with x1 \n" ); document.write( "B = 57.9 degrees (approximate)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |