# A vector vector A is expressed as vector A =​ Axi + Ayj, ​where Ax and Ay are its components along x-axis and y-axis respectively.

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A vector $\vec A$ is expressed as $\vec A$ = Ax$\hat i$ + Ay$\hat j$, where Ax and Ay are its components along x-axis and y-axis respectively. If vector $\vec A$ makes an angle θ with x-axis, then θ is given by which expression?

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Here,       $A_x=A\,cos\,\theta$

$A_y=A\,sin\,\theta$

$tan\,\theta=\frac{A_x}{A_y}$

or   θ = $tan^{-1}\frac{A_y}{A_x}$