IF TAN(A+B-C)=1     AND SEC(B+C-A) =   2
THEN FIND THE VALUE OF A,B AND C

Asked by dalbirgolagarh | 17th Aug, 2015, 06:50: PM

Expert Answer:

tan left parenthesis A space plus space B space minus space C right parenthesis space equals space 1 tan space left parenthesis 45 degree right parenthesis space equals space 1 H e n c e comma space A space plus space B space minus space C space equals space 45 degree space................ left parenthesis i right parenthesis  s e c left parenthesis B space plus space C space minus space A right parenthesis space equals space 2 s e c space left parenthesis 60 degree right parenthesis space equals space 2 H e n c e comma space B space plus space C space minus space A space equals space 60 degree space................ left parenthesis i i right parenthesis  A d d i n g space e q u a t i o n s space left parenthesis i right parenthesis space a n d space left parenthesis i i right parenthesis comma space w e space g e t comma B space equals space 52.5  H e n c e comma space A space minus space C space equals space 45 degree space minus space 52.5 degree A space minus space C space equals space minus 7.5 space space space space.......................... left parenthesis i i i right parenthesis  N o w comma A space plus space B space plus space C space equals space 180 degree................ left parenthesis A n g l e s space o f space a space t r i a n g l e right parenthesis H e n c e comma space A space plus space C space equals space 180 degree space minus space 52.5 degree A space plus space C space equals space 127.5 degree space.......................... left parenthesis i v right parenthesis  N o w comma space A d d i n g space e q u a t i o n s space left parenthesis i i i right parenthesis space a n d space left parenthesis i v right parenthesis comma space w e space g e t comma 2 A space equals space 120 degree T h e r e f o r e comma space A space equals space 60 degree  C space equals space 127.5 degree space minus space 60 degree space C space equals space 67.5 degree  H e n c e comma space A space equals space 60 degree comma space B space equals space 52.5 degree space a n d space C space equals space 67.5 degree

Answered by Kajal Gupta | 18th Aug, 2015, 09:14: AM