Solving Trig Equations: (1.84, 5.06)?

[SS2006]

[img=http://img65.imageshack.us/img65/7927/10wm2.th.jpg]

I tried diong (6cos60, 6 sin 60) + (4cos160, 4 sin160) + (3cos330, 3sin330)
and i got what the answer should be
(5.06, 1.84), except theothe rway round (1.84, 5.06) i thogutht he cos gets the X, why did i have the switch. or is my approach all wrong. causei used the angles id get if i started from t he top of the y-axis.

id appreciate some help

 

[Päällikkö]

6cos60 is the y-component. 6cos30, on the other hand, is not.
I'm confused by your choices of angles. I'd use the ones already there.

 

[quicknote]

I would like to clarify that the solution to a trigonometric equation depends on the specific equation and not on the orientation of the coordinate system. In the given equation, (1.84, 5.06) is the solution because it satisfies the given equation. The approach used in the solution may be different from yours, but as long as it yields the correct answer, it is a valid method. It is important to understand the fundamental concepts of trigonometry and to use the appropriate trigonometric identities and formulas to solve equations. If you are unsure about your approach, it is always helpful to seek guidance from a teacher or a tutor.