secA-1/secA+1 = (sinA/1+cosA)(sinA/1+cosA)

Asked by Adithya Rao | 18th May, 2014, 08:45: AM

Expert Answer:

C o n s i d e r space t h e space l e f t space h a n d space s i d e : fraction numerator s e c A minus 1 over denominator s e c A plus 1 end fraction equals fraction numerator begin display style fraction numerator 1 over denominator cos A end fraction end style minus 1 over denominator fraction numerator 1 over denominator cos A end fraction plus 1 end fraction equals fraction numerator 1 minus cos A over denominator 1 plus cos A end fraction equals fraction numerator 1 minus cos A over denominator 1 plus cos A end fraction cross times fraction numerator 1 plus cos A over denominator 1 plus cos A end fraction equals fraction numerator 1 minus cos squared A over denominator open parentheses 1 plus cos A close parentheses squared end fraction equals fraction numerator sin squared A over denominator open parentheses 1 plus cos A close parentheses squared end fraction equals fraction numerator sin A over denominator open parentheses 1 plus cos A close parentheses end fraction cross times fraction numerator sin A over denominator open parentheses 1 plus cos A close parentheses end fraction

Answered by Vimala Ramamurthy | 19th May, 2014, 09:23: AM