Question

a point p(x,y) is shown on the unit circle corresponding to a real number t. find the values of the trigonometric functions at t. the point p is p(-\frac{7}{25}, -\frac{24}{25}). a. sin t = -\frac{24}{25} (type an integer or a simplified fraction.) b. cos t = -\frac{7}{25} (type an integer or a simplified fraction.) c. tan t = (type an integer or a simplified fraction.)

Explanation:

Step1: Recall tangent formula

$\tan t=\frac{\sin t}{\cos t}$

Step2: Substitute values of sin t and cos t

Given $\sin t =-\frac{24}{25}$ and $\cos t=-\frac{7}{25}$, then $\tan t=\frac{-\frac{24}{25}}{-\frac{7}{25}}$

Step3: Simplify the fraction

$\tan t=\frac{24}{7}$

Answer:

$\frac{24}{7}$