Recent content by Francis006

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The equation x^2+x+1=0 has roots a and b. Also, a series is defined by Tn=a^n+b^n for n=1,2,3,4... a) Show that T1=-1 and T2= -1 (completed, but included for context) b) Show that Tn = -Tn-1 - Tn-2 for n=3,4,5... (I have no clue from here) c) Hence use induction to show that Tn=2cos(2nπ/3) for...

if u,v and w are non-zero vectors such that u-v-w=0. It is also given that |u| = √2 |w| and |v| = √3 |w| . Let θ be the angle between u and v, what is the value of sinθ