Given that cosC + sinC = R cos (C - A), where R>0 and 0<= A<=90
a) Find R and A.
bi) Let y = 1/ (cosC + sinC +2). Find the range of y if 45<= C <= 90.
ii) Let z = (cosC + sinC) / (cosC + sinC +2). Find the maximum value of z if 45<= C <= 90.