Question
Thu April 02, 2015 By: Shazia Micro Parveen

sinA/1-cosA +tanA/1+cosA =secAcosecA+cotA ;cosA+cosecA-1/cotA+cosecA+1 =cosecA+cotA
PROVE THE FOLLOWING
   cosec(65+A) - sec(25-A)

Expert Reply
Prasenjit Paul
Fri April 03, 2015
fraction numerator sin space A over denominator 1 minus cos space A end fraction plus fraction numerator tan space A over denominator 1 plus cos space A end fraction equals s e c A. cos e c A plus c o t space A L H S comma fraction numerator sin space A over denominator 1 minus cos space A end fraction plus fraction numerator tan space A over denominator 1 plus cos space A end fraction equals fraction numerator sin space A left parenthesis 1 plus cos space A right parenthesis plus tan A left parenthesis 1 minus cos space A right parenthesis over denominator left parenthesis 1 minus cos space A right parenthesis left parenthesis 1 plus cos space A right parenthesis end fraction equals fraction numerator sin space A plus sin space A cos space A plus tan A minus tan A. cos space A over denominator 1 minus cos squared A end fraction equals fraction numerator sin space A plus sin space A cos space A plus tan A minus begin display style fraction numerator s i n A over denominator cos A end fraction end style. cos space A over denominator sin squared A end fraction equals fraction numerator sin space A plus sin space A cos space A plus tan A minus begin display style s end style i n A over denominator sin squared A end fraction equals fraction numerator sin space A cos space A plus begin display style fraction numerator s i n A over denominator cos A end fraction end style over denominator sin squared A end fraction equals fraction numerator sin space A begin display style open parentheses cos space A plus fraction numerator 1 over denominator cos A end fraction close parentheses end style over denominator sin squared A end fraction equals fraction numerator begin display style open parentheses cos space A plus fraction numerator 1 over denominator cos A end fraction close parentheses end style over denominator sin A end fraction equals fraction numerator cos squared A plus 1 over denominator sin A. cos A end fraction equals fraction numerator cos squared A over denominator sin A. cos A end fraction plus fraction numerator 1 over denominator sin A. cos A end fraction equals fraction numerator cos A over denominator sin A end fraction plus cos e c A. s e c A equals c o t A plus cos e c A. s e c A equals cos e c A. s e c A plus c o t A equals R H S P l e a s e space w r i t e space e a c h space q u e s t i o n space s e p a r a t e l y
Home Work Help