Question

find: csc a the figure is not drawn to scale answer $\frac{75}{21}$ $\frac{21}{75}$ $\frac{21}{72}$ $\frac{72}{21}$

Explanation:

Step1: Recall the definition of cosecant.

The cosecant of an angle in a right - triangle is defined as $\csc A=\frac{\text{hypotenuse}}{\text{opposite side to angle }A}$.

Step2: Identify the hypotenuse and opposite side.

In the given right - triangle, the hypotenuse is 75 and the side opposite to angle $A$ is 21.

Step3: Calculate $\csc A$.

$\csc A=\frac{75}{21}$

Answer:

$\frac{75}{21}$