Answer
$\sin{t} = -\frac{7}{25}$
$\cos{t} = \frac{24}{25}$
$\require{cancel}\tan{t} = -\frac{7}{24}$
Work Step by Step
RECALL:
For the terminal point P(x, y) on a unit circle,
$\sin{t} = y, \cos{t} = x, \text{ and } \tan{t} = \frac{y}{x}, x\ne0$
Use the formulas above to obtain:
$\sin{t} = -\frac{7}{25}$
$\cos{t} = \frac{24}{25}$
$\require{cancel}\tan{t} = \dfrac{-\frac{7}{25}}{\frac{24}{25}} = -\dfrac{7}{25} \cdot \left(\dfrac{25}{24}\right)=-\dfrac{7}{\cancel{25}} \cdot \left(\dfrac{\cancel{25}}{24}\right)=-\dfrac{7}{24}$
