## Trigonometry (11th Edition) Clone

We can see a sketch of the least positive angle $\theta$ below. We can find the trigonometric values: $sin ~\theta = \frac{y}{r} = \frac{-3}{5}$ $cos ~\theta = \frac{x}{r} = \frac{-4}{5}$ $tan ~\theta = \frac{y}{x} = \frac{3}{4}$ $csc ~\theta = \frac{r}{y} = \frac{5}{-3}$ $sec ~\theta = \frac{r}{x} = \frac{5}{-4}$ $cot ~\theta = \frac{x}{y} = \frac{4}{3}$
$3x-4y=0$ $\frac{y}{x} = \frac{3}{4} = \frac{-3}{-4}$ Since $x \leq 0$, we can let $x=-4$ and $y=-3$ Then $r = \sqrt{(-4)^2+(-3)^2} = 5$ We can see a sketch of the least positive angle $\theta$ below. We can find the trigonometric values: $sin ~\theta = \frac{y}{r} = \frac{-3}{5}$ $cos ~\theta = \frac{x}{r} = \frac{-4}{5}$ $tan ~\theta = \frac{y}{x} = \frac{3}{4}$ $csc ~\theta = \frac{r}{y} = \frac{5}{-3}$ $sec ~\theta = \frac{r}{x} = \frac{5}{-4}$ $cot ~\theta = \frac{x}{y} = \frac{4}{3}$