document.write( "Question 764992: solve the equation cos theta - tan theta * cos theta = 0 for 0< theta < 2 pi \n" ); document.write( "
Algebra.Com's Answer #465879 by DrBeeee(684)![]() ![]() ![]() You can put this solution on YOUR website! Given: \n" ); document.write( "(1) cosx - tanx*cosx = 0 or factoring becomes \n" ); document.write( "(2) cosx*(1 - tanx) = 0 \n" ); document.write( "When the product of two factors is zero, the solution is that either or both factors can be equal to zero. In this case we can have \n" ); document.write( "(3) cosx = 0 and/or \n" ); document.write( "(4) 1 - tanx = 0 \n" ); document.write( "The solution to (3) is \n" ); document.write( "(5) x = pi/2 and 3*pi/2 \n" ); document.write( "The solution to (4) is \n" ); document.write( "(6) tanx = 1 or \n" ); document.write( "(7) x = pi/4 and 3*pi/4 \n" ); document.write( "Answer: theta = (pi/4,pi/2,3*pi/4,3*pi/2) or (45,90,225,270) degrees \n" ); document.write( " |