Question

use the triangle shown below to find cscθ. enter the exact answer in fraction form. cscθ = etextbook and media

Explanation:

Step1: Recall the definition of cosecant

The cosecant function is defined as $\csc\theta=\frac{\text{hypotenuse}}{\text{opposite}}$ in a right - triangle.

Step2: Identify hypotenuse and opposite side

In the given right - triangle, the hypotenuse is 13 and the side opposite to the angle $\theta$ is 5.

Step3: Calculate $\csc\theta$

Using the formula $\csc\theta=\frac{\text{hypotenuse}}{\text{opposite}}$, we have $\csc\theta = \frac{13}{5}$.

Answer:

$\frac{13}{5}$