document.write( "Question 148679: Find the solutions of the equation that are in the interval [0,2π). Please show steps (especially rearranging the equation to solve it. Thanks for helping me. I know the solutions are 11π/6, π/2 but I just can't
\n" );
document.write( " figure out how to isolate to get those solutions. Thanks again.
\n" );
document.write( "
\n" );
document.write( "1) 1-sint=(√3)cost \n" );
document.write( "
Algebra.Com's Answer #109087 by Nate(3500)![]() ![]() ![]() You can put this solution on YOUR website! 1 - sin(t) = √3)cos(t) \n" ); document.write( "1 - 2sin(t) + sin^2(t) = 3cos^2(t) \n" ); document.write( "1 - 2sin(t) + sin^2(t) = 3(1 - sin^2(t)) \n" ); document.write( "1 - 2sin(t) + sin^2(t) = 3 - 3sin^2(t) \n" ); document.write( "4sin^2(t) - 2sin(t) - 2 = 0 \n" ); document.write( "2sin^2(t) - sin(t) - 1 = 0 \n" ); document.write( "(2sin(t) + 1)(sin(t) - 1) = 0 \n" ); document.write( "2sin(t) + 1 = 0 and sin(t) - 1 = 0 \n" ); document.write( "sin(t) = -1/2 and sin(t) = 1 \n" ); document.write( " |