A vector `vec A` is exparessed as ` vec A = A_(x) hat I + A_(y) hat j` where ` vec A and vec B` are its components along x-axis and y-axis respectively. If vector `vec A` makes an angle theat with x-axis, then theta is given by which expressinon ?

Explanation

Hence, ` A_(x) = A cos theta A_(y) =A sin theta`
:.` A_(y)/A_(x) =)A sin theta)/(A cos theta) = tan tehta or theta = tan ^(-1) (A_(y)/A_(x))`.