a) Given that 3cosC + 4sinC = Rcos(C-A), where R>0 and 0<= A<= 90.Find the values of R and tan A.
b) Using the result of (a), or otherwise, solve the following equations C (0<= C <= 360) and correct your answers to 2d.p.
i) 3socC + 4sinC = 2
ii) 3cos2C + 4sin2C = 5cosC