HKCEEamaths(General solution)

hkcee 1991
Qs 18
a) Given that tanx = ktany
i ) Show that sin(x+y)=(k+1)cosxsiny.
ii)Hence, show that (k+1)sin(x-y)=(k-1)sin(x+y).


b) Given that tan(Θ+10)= ktan(Θ-20)

has solution in Θ.

i) Show that sin(2Θ-10)= (k+1)/2(k-1).

ii) Hence, find the range of possible values of k.

c) Find the general solution of

tan(Θ+10)= -2tan(Θ-20),

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