document.write( "Question 568645: the cosine of an angle in a right triangle is 4/7. what is the sine of this angle? \n" ); document.write( "
Algebra.Com's Answer #367058 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! Cosine = adjacent side of triangle divied by hypotenuse.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We use the Pythagorean Theorem from geometry to find the opposite side of the triangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 + 4^2 = 7^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 + 16 = 49\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 = 49 - 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 = 33\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sqrt{x^2} = sqrt{33}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = sqrt{33}, which means square root 33.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Sine = opposite side of triangle divided by hypotenuse.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sine = sqrt{33}/7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Did you follow? \n" ); document.write( " |