document.write( "Question 931559: why value of tan 90 is infinite?? \n" ); document.write( "
Algebra.Com's Answer #565614 by Theo(13342)![]() ![]() You can put this solution on YOUR website! tan of 90 degrees is equal to the length of the opposite side divided by the length of the adjacent side.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in right triangle ABC, the right angle is C.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "we are not talking about that angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "we are talking about angle A or B.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if angle A is 0, then the length of the opposite side is equal to 0 and the length of the adjacent side is equal to the length of the hypotenuse.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the tangent of 0 degrees is equal to length of opposite side divided by length of adjacent side which would become 0 divided by the length of the hypotenuse which would become 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if angle A is 90, then the length of the opposite side is equal to the length of the hypotenuse and the length of the adjacent side is equal to 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the tangent of 90 degrees is equal to length of opposite side divided by length of adjacent side which would become length of the hypotenuse divided by 0 which is undefined.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the infinity measurement expresses the fact that the tangent is undefined at 90 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "see the following animated reference to show you what happens to the tangent function as the angle approaches 0 and the angle approaches 90 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://www.mathopenref.com/triggraphtan.html \n" ); document.write( " \n" ); document.write( " |