If acostheta +bsintheta=m and asintheta-bcostheta=n then asquare +bsquare=?
Options are-
a. msquare-nsquare
b. msquarensquare
c. nsquare-msquare
d. msquare+nsquare

Asked by Sthitaprajna Mishra | 28th Aug, 2014, 10:28: PM

Expert Answer:

a space cos space theta space plus space b space sin space theta space equals space m a space sin space theta space minus space b space cos space theta space equals space n  S q u a r e space b o t h space e q u a t i o n s space o n space b o t h space s i d e s  a squared space cos space squared space theta space plus thin space b squared space sin space squared space theta space plus space 2 a b space cos space theta space sin space theta space equals space m squared a squared space sin space squared space theta space plus thin space b squared space cos space squared space theta space minus 2 a b space cos space theta space sin space theta space equals space n squared  A d d i n g space b o t h space e q u a t i o n s space g i v e s  a squared open parentheses space cos space squared space theta space plus thin space space sin space squared space theta close parentheses space plus thin space b squared open parentheses space cos space squared space theta space plus thin space space sin space squared space theta close parentheses space equals m squared space plus space n squared  a squared space plus space b squared space equals space m squared space plus thin space n squared

Answered by Dharma Teja | 30th Aug, 2014, 01:06: AM