Question

The point (1,-1) is on the terminal side of angle theta in standard position what are the values of sine cuisine and tangent of theta

Answer 1

$\bf \textit{terminal point }\implies \begin{array}{lclcll} (&1&,&-1)\\ &\uparrow &&\uparrow \\ &x&&y \end{array} \\\\\\ sin(\theta)=\cfrac{y}{r} \qquad % cosine cos(\theta)=\cfrac{x}{r} \qquad % tangent tan(\theta)=\cfrac{y}{x}\\\\ -----------------------------\\\\ \textit{so, what's the radius "r"?}\implies r^2=x^2+y^2\implies r=\sqrt{x^2+y^2}$