(a) Show that 3sin3θ−4cos3θ can be written in the form Rsin(3θ−α), with R>0 and 0<α<90°.
(b) Deduce the minimum value of 3sin3θ−4cos3θ and work out the smallest positive value of θ (to the nearest 0.1°) at which it occurs.
I did the first part and got
but how do I find the minimum value? I have set it equal to 0, but that does not give me the correct answer.
can someone please tell me
?
Thanks!