Let α and β be angles such that is the terminal point for a and Q is the terminal point for β . Let R,S,T,U be other terminal points below:
Then R,S,T,U are the terminal points for the angles α+β,β−α,2β,−α in some order.
R,S,T,U
Order the terminal pointsto match the angles above.
Hello ElectricPavlov,
Thank you very much for the response, I greatly appreciate your help. Can you please explain your thought process for solving this question? It would really help me in future problems such as this.
For clarity, I re-labelled the points alpha and beta in the diagram below
Now if you look at point R you can see that it is just point b minus the amount of point a ...... right?
similarly point b PLUS the maount of point a would land you at S
b is approximately 145 degrees 2 * 145 = 290 degrees ....which would be point U
look at point a go the same amount in the clockwise direction from the x-axis to get to -a ...... this would be point T