document.write( "Question 1103989: How to solve the theta for (1-cos theta)tan theta = 0.2? \n" ); document.write( "
Algebra.Com's Answer #719015 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! How to solve the theta for (1-cos(t))tan(t) = 0.2? \n" ); document.write( "------ \n" ); document.write( "tan - sin = 0.2 \n" ); document.write( "tan = sin/cos = sin/sqrt(1-sin^2) \n" ); document.write( "sin/sqrt(1-sin^2) - sin = 0.2 \n" ); document.write( "sin/sqrt(1-sin^2) = sin + 0.2 \n" ); document.write( "sin^2/(1-sin^2) = sin^2 + 0.4sin + 0.04 \n" ); document.write( "sin^2 = sin^2 + 0.4sin + 0.04 - sin^4 - 0.4sin^3 - 0.04sin^2 \n" ); document.write( "0.4sin + 0.04 - sin^4 - 0.4sin^3 - 0.04sin^2 = 0 \n" ); document.write( "sin^4 + 0.4sin^3 + 0.04sin^2 -0.4sin - 0.04 = 0 \n" ); document.write( "------------ \n" ); document.write( "I would use graphical or iterative methods and tan - sin = 0.2 \n" ); document.write( "theta =~ 0.7020347 radians \n" ); document.write( "=~ 3.2415088 radians\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |