Archive
7th of September 2015
Mathematics
Q:

sir


prove that :


tan A + cot A = secA.cosecA+1

1-cot a 1-tan a

Ishan Bajwa - ICSE - Class X

Monday, September 07, 2015 at 18:37:PM

A:

fraction numerator tan A over denominator 1 minus c o t A end fraction plus fraction numerator c o t A over denominator 1 minus tan A end fraction equals fraction numerator begin display style fraction numerator sin A over denominator cos A end fraction end style over denominator 1 minus begin display style fraction numerator cos A over denominator sin A end fraction end style end fraction plus fraction numerator fraction numerator c o s A over denominator s i n A end fraction over denominator 1 minus fraction numerator s i n A over denominator c o s A end fraction end fraction equals fraction numerator begin display style fraction numerator s i n A over denominator c o s A end fraction end style over denominator begin display style fraction numerator sin A minus c o s A over denominator s i n A end fraction end style end fraction plus fraction numerator fraction numerator c o s A over denominator s i n A end fraction over denominator fraction numerator cos A minus s i n A over denominator c o s A end fraction end fraction equals fraction numerator s i n squared A over denominator c o s A open parentheses s i n A minus c o s A close parentheses end fraction minus fraction numerator cos squared A over denominator sin A open parentheses s i n A minus c o s A close parentheses end fraction equals fraction numerator s i n cubed A minus c o s cubed A over denominator c o s A sin A open parentheses s i n A minus c o s A close parentheses end fraction equals fraction numerator open parentheses s i n A minus c o s A close parentheses open parentheses s i n squared A plus c o s squared A plus cos A sin A close parentheses over denominator sin A c o s A open parentheses s i n A minus c o s A close parentheses end fraction equals fraction numerator open parentheses 1 plus c o s A s i n A close parentheses over denominator s i n A c o s A end fraction equals s e c A cos e c A plus 1

Monday, September 07, 2015 at 18:53:PM