document.write( "Question 552548: the answer to this problem tan(cos^-1(7/15))
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document.write( "as a fraction rationalizing the denominator if necessary \n" );
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Algebra.Com's Answer #360385 by Theo(13342)![]() ![]() You can put this solution on YOUR website! problem is: \n" ); document.write( "tan (cos^-1(7/15)) \n" ); document.write( "first fine cosine^-1(7/15) \n" ); document.write( "that equals 62.181860723 degrees. \n" ); document.write( "then find tan (62.181860723) \n" ); document.write( "that equals 1.895214166 \n" ); document.write( "that's doing it using the calculator. \n" ); document.write( "now to do it the way i think they want it. \n" ); document.write( "you have a triangle. \n" ); document.write( "call it ABC \n" ); document.write( "assume it's a right triangle. \n" ); document.write( "AB is the hypotenuse of this right triangle. \n" ); document.write( "BC is the vertical leg of this right triangle. \n" ); document.write( "AC is the horizontal leg of this right triangle. \n" ); document.write( "the length of AC is 7. \n" ); document.write( "the length of AB is 15 \n" ); document.write( "the length of BC is calculated to be sqrt(176) using the pythagorus theorem of a^2 + b^2 = c^2 where a and b are legs of a right triangle and c is the hypotenuse. \n" ); document.write( "the angle you are working with is angle x which is the same as angle BAC. \n" ); document.write( "cosine^-1 (7/15) points to angle x which is the same as angle BAC. \n" ); document.write( "that's because cosine(x) = adj/hyp = 7/15. \n" ); document.write( "tan(x) = opp/adj = sqrt(176)/7. \n" ); document.write( "you have: \n" ); document.write( "cosine^-1(7/15) = x \n" ); document.write( "tan(x) = sqrt(176)/7 \n" ); document.write( "since sqrt(176)/7 equals 1.895214166, this method provides the exact same answer as the method i used up top. \n" ); document.write( "a picture of your triangle is shown below: \n" ); document.write( " ![]() \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |