the terminal arm of an angle in standard position passes through (3,11). Find the radian value of the angle in the interval [0,2pi], to the nearest hundredth.
i dont understand how to solve this problem. help is appreciated
answer is:1.30
Because the (3,11) refers to an x and a y value. As it must be in the first quadrant that means the angle is measured from the horizontal (as is convention). If you sketch the diagram it is clearer.
You could use pythagoras theorem to find the hypoteneuse and use another ration but that could introduce rounding errors