## Trigonometry (11th Edition) Clone

$x_Q = x_P+d~sin~\theta$ $y_Q = y_P+ d~cos~\theta$
We can form a right triangle with the points $P$, $Q,$ and $O$, where $O$ is the point $(x_P, y_Q)$ Let $y$ be the side of the triangle adjacent to $\theta$. Let $x$ be the side of the triangle opposite $\theta$. Note that $d$ is the hypotenuse of the triangle. We can find an expression for $x$: $\frac{x}{d} = sin~\theta$ $x = d~sin~\theta$ We can find an expression for $y$: $\frac{y}{d} = cos~\theta$ $y = d~cos~\theta$ We can find an expression for $x_Q$: $x_Q = x_P+x$ $x_Q = x_P+d~sin~\theta$ We can find an expression for $y_Q$: $y_Q = y_P+y$ $y_Q = y_P+ d~cos~\theta$