If `alpha "and  " beta ` be two  distinct  real  numbers  such that  `(alpha-beta) ne 2 n pi`
Channel: Doubtnut
Date: 2020-04-12

If `alpha "and  " beta ` be two  distinct  real  numbers  such that  `(alpha-beta) ne 2 n pi`  for any  integer n satisfying the  equations  a cos `theta  + b ` sin `theta =c` then  prove that     `(i)  "cos  "  (alpha+ beta) =(a^(2) -b^(2))/(a^(2) +b^(2)) "     "(ii)  "sin  " (alpha + beta)  = (2ab)/(a^(2)+b^(2))`