You've been given a and b, so you can construct 2a and 3b and see what the equation gives you:
simplifying that down you get:
... which is not the answer I was expecting, I was expecting it to be 4/7.
Did you copy the question right?
Hi again x.x
I'm having a huge problem with these, here goes:
It is given that a=2sinθ + cosθ and b=2cosθ + sinθ where 0° ≤ θ ≤ 360°
(i) Show that a ² + b ² is constant for all values of θ
(ii) Given that 2a = 3b show that tanθ = 4/7 and find the corresponding values of θ
My answer for (i): 5sin²θ + 5cos²θ = θ by adding A and B squared.
For (ii) I don't understand the question.
Also, could someone point me to a website containing detailed explainations and examples of these? I feel like I only half understand them :/
Thanks again guys