document.write( "Question 278404: How would I find all the solutions if I have only been given the equation 3tanx-3=0 and told it is between [0, 2[pi])? \n" ); document.write( "
Algebra.Com's Answer #202582 by dabanfield(803) ![]() You can put this solution on YOUR website! Since 3*tan(x) - 3 = 0\r \n" ); document.write( "\n" ); document.write( "3*tan(x) = 3 \n" ); document.write( "tan(x) = 3/3 = 1\r \n" ); document.write( "\n" ); document.write( "This means that the ratio of the opposite side to the adjacent side of the right triangle with \"reference angle\" x is 1. This happens when we have an isosceles (non-hypotenuse sides of same length) triangle or when x is 45 degrees (that is, pi/4 radians). \r \n" ); document.write( "\n" ); document.write( "So the two values of x between 0 and 2*pi where opposite and adjacent sides are equal and of the same sign are pi/4 and pi + pi/4 = 5/4*pi. \n" ); document.write( " |