Answer
$\sin\theta=\frac{y}{r}=\frac{-24}{25}$
$\cos\theta=\frac{x}{r}=\frac{7}{25}$
$\tan\theta=\frac{y}{x}=\frac{-24}{7}$
$\csc\theta=\frac{r}{y}=\frac{25}{-24}$
$\sec\theta=\frac{r}{x}=\frac{25}{7}$
$\cot\theta=\frac{x}{y}=\frac{7}{-24}$
Work Step by Step
$x=7$
$y=-24$
$r=\sqrt{(-24)^{2}+(7)^{2}}=\sqrt {576+49}= 25$